Articles

Author(s) Title Year Journal Series Pages Comments Status
Cantor, G., Ein Beitrag zur Mannigfaltigkeitslehre 1878 J. Reine Angew. Math. 84 242-258. NULL published
Cantor, G., "Uber unendliche, lineare Punktmannichfaltigkeiten $V$" 1883 Math. Ann. 21 545-591. NULL published
Cantor, G., Mitteilungen zur Lehre vom Transfiniten 1887 Z. Philos. Philos. Kritik. 91 "81-125, 252-270." NULL published
Schröder, E., Über zwei Definitionen der Endlichkeit und G. Cantor’sche Sätze, 1898 Deutch. Akad. Naturforscher, nova Acta Leopoldina. 71 303-362 published
Hilbert, D., Mathematische Probleme Vortrag, gehalten auf dem internationalem Mathematiker Kongress zu Paris 1900 Bull. Amer. Math. Soc. 8 437-479 Originally published in Nachrichten, Akademie der Wissenschaften, Göttingen, 1900 published
Whitehead, A.N., On Cardinal Numbers 1902 Amer. J. Math. 24 367-394 published
Young, W.H., Overlapping intervals 1903 Proc. London Math. Soc. 35 384-388 NULL published
Zermelo, E., Beweis das jede Menge wohlgeordnet kann 1904 Math. Ann. 59 514-516. NULL published
Lebesgue, H., Sur les fonctions representables analytiquement 1905 J. Math. Pures Appl. 60 139-216. NULL published
Lindelof, E., Remarque sur un th'eor`eme fondamental de $la$ th'eorie des ensembles 1905 Acta Math. 29 183-190. NULL published
Hamel, G., Eine Basis aller Zahlen und die unstetigen Losungen der Functionalgleichung: \(f(x+y) = f(x) + f(y)\) 1905 Math. Ann. 60 459-462 published
Russell, B., On some difficulties in the theory of transfinite numbers and order types 1906 Proc. London Math. Soc. Ser. 2 4 29-53. NULL published
Hausdorff, F., Über dichte Ordnungstypen 1907 Jber. Deutsch. Math. 16 541-546 published
Schoenflies, A., Die Entwickelung der Lehre von den Punktmannichfaltigkeiten. Zweiten Teil 1908 Jber. Deutsch. Math. 2 1-331 published
Bernstein, F., Zur Theorie der trigonometrischen Reihe 1908 Königlich Sächsischen Gesellschaft der Wissenschaften zu Leipzig, Math.-Phys. Klasse, Sitzungsberichte 60 325-338 Felix Bernstein published
Zermelo, E., Neuer Beweis fur die wohlordnung 1908a Math. Ann. 65 107-128. NULL published
Zermelo, E., Untersuchungen uber die Grundlagen der Mengenlehre I 1908b Math. Ann. 65 "261-281. (Translated in van Heijenoort 1, p 199-215.)" NULL published
Sierpi'nski, W., Sur le r^ole de l'axiome de M. Zermelo dans l'analyse moderne 1916 C. R. Acad. Sci. Paris S'er. A-B 163 688-691. NULL published
Sierpi'nski, W., Sur quelques probl`emes qui impliquent des fonctions non-mesur-ables 1917 C. R. Acad. Sci. Paris S'er. A-B 164 882-884. NULL published
Luzin, N., Sierpi'nski, W., Sur une propri'et'e du continu 1917 C. R. Acad. Sci. Paris S'er. A-B 165 498-500. NULL published
Sierpi'nski, W., L’axiome de M. Zermelo et son rˆole dans la th´eorie des ensembles et l’analyse 1918 Bull. Int. Acad. Sci. Cracovie Cl. Math. Nat. 97-152 published
Sierpi'nski, W., Sur l''egalit'e 2m=2n pur les nombres cardinaux 1922 Fund. Math. 3 "1-6. Reprinted in Oevres Choisies, Vol 11, Warszawa 1975, 417-421." NULL published
Fraenkel, A., Der Bergriff “definit” und der Unabhangigkeit des Auswahlaxioms 1922 Sitzungsber. Preussichen Akad. Wiss., Math. Kl. 253-257 published
Banach, S., Tarski, A., Sur la decomposition des ensembles de points en parties respectivement congruents 1924 Fund. Math. 6 244-257. NULL published
Moore, R.L., An extension of the theorem that no countable point set is perfect 1924 Proc. Nat. Acad. Sci. U.S.A. 10 168-170. NULL published
Tarski, A., Sur les ensembles finis 1924 Fund. Math. 6 45-95. NULL published
Urysohn, P., Uber die Metrisation der kompakten topologischen Raume 1924 Math. Ann. 92 275-293 NULL published
Urysohn, P., Uber die Machtigkeit der zusammenhangenden Mengen 1925 Math. Ann. 94 262-295. NULL published
Lindenbaum, A., Tarski, A., Communication sur les recherches de la th'eorie des ensembles 1926 C. R. Soc. Sci. Lett. Varsovie 19 299-330. NULL published
Krull, W., Die Idealtheorie in Ringen ohne Endlichkeitsbedingungen 1929 Math. Ann. 101 729-744. NULL published
Ramsey, Frank, On a problem of formal logic 1929 Proc. London Math. Soc. 30 264-286 NULL published
Tarski, A., Une contribution 'a la th'eorie de la mesure 1930 Fund. Math. 15 42-50. NULL published
Tychonoff, A., Uber die topologische Erweiterung von Raumen 1930 Math. Ann. 102 544-561. NULL published
Lowig, L., Uber die Dimension linearer Raume 1934 Studia Math. 5 18-23. NULL published
Hall, P., On representatives of subsets 1935 J. London Math. Soc. 10 26-30. NULL published
Stone, M., The theory of representations for Boolean algebras 1936 Trans. Amer. Math. Soc. 40 37-111. NULL published
Mostowski, A., On the independence of the definitions of finiteness in a system of logic 1938 Ann. Soc. Polon. Math. 11 1-54. NULL published
Tarski, A., Review of Mostowski 5 1938a J. Symbolic Logic 3 115 NULL published
Tarski, A., Ein Uberdeckungsatz fur endliche Mengen nebst enigen Bemerkungen uber die Definitionen der Endlichkeit 1938b Fund. Math. 30 156-163. NULL published
Gelfand, I., Kolmogoroff, A., On rings of continuous functions on topological spaces 1939 Dokl. Akad. Nauk SSSR 22 25-38 published
Alexander, J. W., "Ordered sets, complexes, and the problem of bicompactification" 1939 Proc. Nat. Acad. Sci. U.S.A. 22 296-298. NULL published
Mostowski, A., Uber die Unabhangigkeit des Wohl-ord-nungs-satzes vom Ord-nungs-prin-zip 1939 Fund. Math. 32 201-252. NULL published
Tarski, A., On well-ordered subsets of any set 1939 Fund. Math. 32 176-183. NULL published
Birkhoff, G., Subdirect unions in universal algebra 1944 Bull. Amer. Math. Soc. 50 764-768. NULL published
Mostowski, A., Axiom of choice for finite sets 1945 Fund. Math. 33 137-168. NULL published
Sierpi'nski, W., Sur une proposition qui entraine l'existence des ensembles non mesurables 1947 Fund. Math. 34 157-162. NULL published
Tarski, A., Algebraic and axiomatic aspects of two theorems on sums of cardinals 1948 Fund. Math. 35 79-104. NULL published
Hall, M., Distinct representatives of subsets 1948 Bull. Amer. Math. Soc. 54 922-926. NULL published
Mostowski, A., On the principle of dependent choices 1948 Fund. Math. 35 127-130. NULL published
Stone, A.H., Paracompactness and product space 1948 Bull. Amer. Math. Soc. 54 977-982. NULL published
Rado, R., Axiomatic treatment of rank in infinite sets 1949 Canad. J. Math. 1 337-343. NULL published
Tarski, A., Cancellation laws in the arithmetic of cardinals 1949b Fund. Math. 36 77-92. NULL published
Goodner, D. A., Projections in normed linear spaces 1950 Trans. Amer. Math. Soc. 69 89-108 published
Rasiowa, H., Sikorski, R., A proof of the completeness theorem of Gödel 1950 Fund. Math. 37 193-200 published
Sikorski, R., Cartesian products of Boolean algebras 1950 Fund. Math. 37 25-54. NULL published
Federer, H., Jonsson, B., Some properties of free groups 1950 Trans. Amer. Math. Soc. 68 1-27. NULL published
Kelley, J.L., Tychonoff's theorem implies AC 1950 Fund. Math. 37 75-76. NULL published
L o's, J., Ryll-Nardzewski, C., On the application of Tychonoff's theorem in mathematical proofs 1951 Fund. Math. 38 233-237. NULL published
Gottschalk, W. H., Choice functions and Tychonoff's theorem 1951 Proc. Amer. Math. Soc. 2 "172. MR 12.683, Zbl 43.54." NULL published
Erdos, P., Rado, R., Combinatorial theorems on classification of subsets of a given set 1952 Proc. London Math. Soc. 2 417-439 NULL published
Kurepa, D., Uber das Auswahlaxiom 1953 Math. Ann. 126 381-384. NULL published
Rubin, H., Scott, D., Some topological theorems equivalent to the Boolean prime ideal theorem 1954 Bull. Amer. Math. Soc. 60 389 NULL published
Sierpi'nski, W., Sur un proposition 'equivalente `a l'existence d'un ensemble de nombres r'eels de puissance $aleph _{1}$ 1954 Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 2 53-54 NULL published
L o's, J., Ryll-Nardzewski, C., Effectiveness of the representation theory for Boolean algebras 1954 Fund. Math. 41 49-56. NULL published
Scott, D., Prime ideal theorems for rings lattices and Boolean algebras 1954 Bull. Amer. Math. Soc. 60 390 NULL published
Tarski, A., Theorems on the existence of successors of cardinals and the axiom of choice 1954a Indag. Math. 16 26-32. NULL published
Henkin, L., Metamathematical theorems equivalent to the prime ideal theorem for Boolean algebras 1954a Bull. Amer. Math. Soc. 60 378-388. NULL published
Tarski, A., Prime ideal theorems for Boolean algebras and the axiom of choice 1954b Bull. Amer. Math. Soc. 60 390-391. NULL published
Henkin, L., Boolean representations through propositional calculus 1954b Fund. Math. 41 89-96. NULL published
Kinna, W., Wagner, K., Uber eine Abschwachung des Auswahlpostulates 1955 Fund. Math. 42 75-82. NULL published
Specker, E., Zur Axiomatik der Mengenlehre 1957 Z. Math. Logik Grundlagen Math. 3 173-210. NULL published
Levy, A., The independence of various definitions of finiteness 1958 Fund. Math. 46 1-13 published
Mostowski, A., On a problem of W. Kinna and K. Wagner 1958 Colloq. Math. 6 207-208. NULL published
Fraiss'e, R. J., Un mod`ele d'efinissant une th'eorie aberrant des ensembles ou sont nies les axiomes du choix et d'extensionalite 1958 Publ. Sci. Univ. Alger Ser. A Math. 5 17-98 NULL published
Gleason, A.M., Projective topological spaces 1958 Illinois J. Math. 2 482-489. NULL published
Rubin, H., Two propositions equivalent to the axiom of choice only under the axioms of extensionality and regularity 1960 Notices Amer. Math. Soc. 7 381 NULL published
Levy, A., On models of set theory with urelements 1960 Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 8 463-465. NULL published
Banaschewski, B., On some theorems equivalent to the axiom of choice 1961 Z. Math. Logik Grundlagen Math. {f 7 NULL published
Mycielski, J., Some remarks and problems on the coloring of infinite graphs and the theorem of Kuratowski 1961 Acta Math. Acad. Sci. Hungar. 12 125-129. NULL published
Halpern, J.D., Some structure in the hierarchy of maximal principles in set theory 1962 Notices Amer. Math. Soc. 9 315 NULL published
Levy, A., Axioms of multiple choice 1962 Fund. Math. 50 475-483. NULL published
Lauchli, H., Auswahlaxiom in der Algebra 1962 Comment. Math. Helv. 37 1-18. NULL published
Ward, L.E.J., A weak Tychonoff theorem and the axiom of choice 1962 Proc. Amer. Math. Soc. 13 757-758. NULL published
Cohen, P. J., The independence of the continuum hypothesis I 1963 Proc. Nat. Acad. Sci. U.S.A. 50 1143-1148 Both volume I and volume II are Cohen [1963] in the book published
Kenyon, H., Problem 5077 1963 Amer. Math. Monthly 70 216 NULL published
Feferman, S., Levy, A., Independence results in set theory by Cohen's method II 1963 Notices Amer. Math. Soc. 10 593 NULL published
Lauchli, H., The independence of the ordering principle from a restricted axiom of choice 1964 Fund. Math. 54 31-43. NULL published
Levy, A., The interdependence of certain consequences of the axiom of choice 1964 Fund. Math. 54 137-157. NULL published
Monro, G.P., On the axiom of determinateness 1964 Fund. Math. 53 205-224. NULL published
Cohen, P. J., The independence of the continuum hypothesis II 1964 Proc. Nat. Acad. Sci. U.S.A. 51 105-110 The independence of the continuum hypothesis I & II are both Cohen [1963] in the book published
Foster, B. L., Short proof of a theorem of Rado on graphs 1964 Proc. Amer. Math. Soc. 15 865-866 published
Baker, I. N., Solution to problem 5077 1964 Amer. Math. Monthly 71 219-220. NULL published
Hales, A. W., On the non-existence of free complete Boolean algebras 1964 Fund. Math. 54 45-66. NULL published
Bleicher, M., Some theorems on vector spaces and the axiom of choice 1964 Fund. Math. 54 95-107. NULL published
Mycielski, J., Two remarks on Tychonoff's product theorem 1964 Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 8 439-441. NULL published
Halpern, J.D., Levy, A., The ordering theorem does not imply the axiom of choice 1964 Notices Amer. Math. Soc. 11 56 NULL published
Felscher, W., Bemerkungen zu einem Lemma von E. Engeler und A. Robinson 1964 Z. Math. Logik Grundlagen Math. 10 15-16 published
Knight, C. J., Boxtopologies 1964 Quart. J. Math. Oxford Ser. 15 41-54. NULL published
Halpern, J.D., The independence of the axiom of choice from the Boolean prime ideal theorem 1964 Fund. Math. 55 57-66. NULL published
Keisler, H.J., Tarski, A., From accessible to inaccessible cardinals 1964 Fund. Math. 53 225-308. NULL published
Feferman, S., Independence of the axiom of choice from the axiom of dependent choices 1964 J. Symbolic Logic 29 226 NULL published
Bleicher, M., Multiple choice axioms and the axiom of choice for finite sets 1965 Fund. Math. 57 247-252. NULL published
Monteiro, A., G'en'eralization d'un th'eor`eme de R. Sikorski sur les alg`ebres de Boole 1965 Bull. Sci. Math. 89 65-74. NULL published
Feferman, S., Applications of forcing and generic sets 1965 Fund. Math. 56 325-345. NULL published
Tarski, A., On the existence of large sets of Dedekind cardinals 1965 Notices Amer. Math. Soc. 12 719 NULL published
Kerkhoff, W., Eine Konstruktion absolut freier Algebren 1965 Math. Ann. 158 109-112. NULL published
Solovay, R.M., The measure problem 1965 Notices Amer. Math. Soc. 12 217 NULL published
Ellentuck, E.M., The universal properties of Dedekind finite cardinals 1965 Ann. Math. Ser. 2 82 225-248. NULL published
Jensen, R.B., Independence of the axiom of dependent choices from the countable axiom of choice 1966 J. Symbolic Logic 31 294 NULL published
Halpern, J.D., Bases for vector spaces and the axiom of choice 1966 Proc. Amer. Math. Soc. 17 670-673 published
Halpern, J.D., Lauchli, H., A partition theorem 1966 Trans. Amer. Math. Soc. 124 360-367. NULL published
Jech, T., On cardinals and their successors 1966a Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 14 533-537. NULL published
Jech, T., Sochor, A., Applications of the $Theta $-model 1966a Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 14 351-355. NULL published
Jech, T., Sochor, A., On $Theta $-model of the set theory 1966b Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 14 297-303. NULL published
Jech, T., Interdependence of weakened forms of the axiom of choice 1966b Comment. Math. Univ. Carolinae 7 359-371. NULL published
Jech, T., On the ordering of cardinalities 1966c Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 14 293-296. NULL published
Jensen, R.B., Consistency results for $ZF$ 1967 Notices Amer. Math. Soc. 14 137 NULL published
Wolk, E.S., "On the theorems of Tychonoff, Alexander and Rado" 1967 Proc. Amer. Math. Soc. 18 113-115. NULL published
Vopenka, P., General Theory of $Delta$-Models 1967 Comment. Math. Univ. Carolinae 8 145-170 NULL published
Derrick, J., Drake, F., A model of Z-F set theory with $aleph(2^omega)= aleph_omega$ 1967b J. Symbolic Logic 32 559 NULL published
Schnare, P. S., The maximal \(T_0\) (respectively \(T_1\)) lemma is equivalent to the axiom of choice 1968 Amer. Math. Monthly 65 761 NULL published
Abian, A., A fixed point theorem 1968 Nieuw Arch Wisk. 16 184-185 published
Mathias, A.R.D., On a generalization of Ramsey's theorem 1968 University of Cambridge Bonn. thesis
Gauntt, R.J., Some restricted versions of the axiom of choice 1968 Notices Amer. Math. Soc. 15 351 published
Comfort, W. W., "A theorem of Stone-v Cech type, and a theorem of Tychonoff type, without the axiom of choice, and their real compact analogues" 1968 Fund. Math. 63 97-110. NULL published
Pincus, D., Comparison of independence results in Mostowski's system (G) and $ZF$ set theory 1968 Notices Amer. Math. Soc. 15 234 NULL published
Jech, T., \(\omega _{1}\) can be measurable 1968a Israel J. Math. 6 363-367. NULL published
Makowski, A., Wi'sniewski, K., Generalization of Abian’s fixed point theorem 1969 Comment. Math. Ann. Soc. Math. Polon. S'er. 1 13 63-65 published
Plotkin, J. M., Generic embeddings 1969 J. Symbolic Logic 34 388-394. NULL published
Morris, D.B., Choice and cofinal well-ordered subsets 1969 Notices Amer. Math. Soc. 16 1088 NULL published
Parovicenko, I.I., Topological equivalents of the Tichonov theorem 1969 Dokl. Akad. Nauk SSSR 184 33-34. NULL published
Alas, O. T., The axiom of choice and two particular forms of Tychonoff theorem 1969 Portugal. Math. 28 75-76. NULL published
Pincus, D., Harvard University 1969 Harvard University Doctoral Dissertation thesis
Sacks, G. E., Measure theoretic uniformity in recursion theory and axiomatic set theory 1969 Trans. Amer. Math. Soc. 142 381-420 NULL published
Kerkhoff, W., Uber verallgemeinerte Peano-Algebren 1969 Math. Ann. 179 251-256. NULL published
Felgner, U., Die Existenz wohlgenordneter konfinaler Teilmengen in Ketten und das Aus-wahl-axiom 1969 Math. Z. 111 221-232. NULL published
Weglorz, B., A model of set theory $Cal S$ over a given Boolean algebra 1969 Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 17 201-202. NULL published
Kleinberg, E.M., The independence of Ramsey's theorem 1969 J. Symbolic Logic 34 205-206. NULL published
Zuckerman, M.M., On choosing subsets of $n$-element sets 1969a Fund. Math. 64 163-179. NULL published
Zuckerman, M.M., A unifying condition for implications among the axioms of choice for finite sets 1969b Pacific J. Math. 28 233-242. NULL published
Morris, D.B., A model of ZF which cannot be extended to a model of ZFC without adding ordinals 1970 Notices Amer. Math. Soc. 17 577 NULL published
B'en'ejam, J. P., Un remarque sur des th'eor`emes de Rado et Fra\i ss'e 1970 C. R. Acad. Sci. Paris S'er. A-B 270 A1656-A1658. NULL published
Solovay, R.M., A model of set theory in which every set of reals is Lebesgue measurable 1970 Ann. Math. Ser. 2 92 1-56 published
Halpern, J.D., Howard, P., Cardinals \(m\) such that \(2m = m\) 1970 Proc. Amer. Math. Soc. 26 487-490. NULL published
Luxemburg, W.A.J., Two applications of the method of construction by ultrapowers to analysis 1970 Proc. Symp. Pure. Math. 18 (part 1) 83-134 published
Ellentuck, E.M., Extension methods in cardinal arithmetic 1970 Trans. Amer. Math. Soc. 149 307-325. NULL published
Gauntt, R.J., Axiom of choice for finite sets - a solution of a problem of Mostowski 1970 Notices Amer. Math. Soc. 17 454 NULL published
Keisler, H.J., Logic with the quantifier ``there exist uncountably many'' 1970 Ann. Math. Logic 1 1-93. NULL published
Easton, W. B., Powers of regular cardinals 1970 Ann. Math. Logic 1 139-178. NULL published
Conway, J. H., Effective Implications between the finite choice axioms 1971 Lecture Notes in Mathematics 337 439-458 published
Cohen, P. J., Automorphisms of set theory 1971 Proc. Symp. Pure. Math. 25 325-330 Automorphisms of set theory, Tarski Symposium; Berkeley; L. Henkin, J. Addison, C.C. Chang, W. Craig, D.S. Scott, and R. Vaught ed, Proceedings of Symposia in Pure Mathematics 25, AMS, 1974, 325-330. published
Solovay, R.M., Tennenbaum, S., Iterated Cohen extensions and Souslin's problem 1971 Ann. Math. Ser. 2 94 201-245. NULL published
Lauchli, H., Coloring infinite graphs and the Boolean prime ideal theorem 1971 Israel J. Math. 9 422-429. NULL published
Myhill, J. R., Scott, D., Ordinal definability 1971 Proc. Symp. Pure. Math. 13 271-278 A.M.S., Providence published
Pincus, D., Support structures for the axiom of choice 1971 J. Symbolic Logic 36 28-38. NULL published
Zuckerman, M.M., Choices from finite sets and choices of finite subsets 1971 Proc. Amer. Math. Soc. 27 133-138. NULL published
Bell, J.L., Jellett, F., On the relationship between the Boolean prime ideal theorem and two principles in functional analysis 1971 Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 19 191-194. NULL published
Felgner, U., Uber das Ordnungstheorem 1971b Z. Math. Logik Grundlagen Math. 17 257-272. NULL published
Felgner, U., Comparison of the axioms of local and universal choice 1971c Fund. Math. 81 43-62. NULL published
Monro, G.P., Models of \(ZF\) with the same sets of ordinals 1972 Notices Amer. Math. Soc. 19 534 NULL published
Makowski, A., Wi'sniewski, K., On the axiom of choice for families of finite sets 1972 Fund. Math. 73 187-192 NULL published
Armbrust, M., An algebraic equivalent of the multiple choice axiom 1972 Fund. Math. 74 145-146. NULL published
Wi'sniewski, K., On the axiom of choice for families of finite sets 1972 Fund. Math. 73 187-192. NULL published
Chandler, R. E., An alternative construction of $eta x$ and $mu x$ 1972 Proc. Amer. Math. Soc. 32 315-318. NULL published
Bell, J.L., Fremlin, D.H., The maximal ideal theorem for lattices of sets 1972 Bull. London Math. Soc. 4 1-2. NULL published
Hickman, J.L., On a cardinal equation in set theory 1972 Bull. Amer. Math. Soc. 6 447-457. NULL published
Halpern, J.D., On a question of Tarski and a maximal theorem of Kurepa 1972 Pacific J. Math. 41 111-121. NULL published
Pincus, D., Zermelo-Fraenkel consistency results by Fraenkel-Mostowski methods 1972a J. Symbolic Logic 37 721-743. NULL published
Bacsich, P. D., Extension of Boolean homomorphisms with bounding semi-morph-isms 1972a J. Reine Angew. Math. 253 24-27. NULL published
Bacsich, P. D., Effective equivalents of the Rasiowa-Sikorski lemma 1972b J. London Math. Soc. Ser. 2. 4 513-518 published
Pincus, D., Independence of the prime ideal theorem from the Hahn Banach theorem 1972b Bull. Amer. Math. Soc. 78 766-770. NULL published
Pincus, D., The strength of the Hahn-Banach theorem 1972c Lecture Notes in Mathematics 369 203-248 published
Welsh, P. J., On the number of overlapping subsets of a set 1973 Notre Dame J. Formal Logic 14 269-270. NULL published
Fleischer, I., Das Zornsche Lemma fur Klassen 1973 Z. Math. Logik Grundlagen Math. 19 205-206. NULL published
Cowen, R.H., Some combinatorial theorems equivalent to the prime ideal theorem 1973 Proc. Amer. Math. Soc. 41 268-273. NULL published
Abian, A., Rado's theorem and solvability of systems of equations 1973 Notre Dame J. Formal Logic 14 145-150. NULL published
Ellentuck, E.M., The structure of Dedekind cardinals 1973 Trans. Amer. Math. Soc. 180 109-125. NULL published
Felgner, U., Jech, T., Variants of the axiom of choice in set theory with atoms 1973 Fund. Math. 79 79-85. NULL published
Howard, P., Limitations on the Fraenkel-Mostowski method of independence proofs 1973 J. Symbolic Logic 38 416-422. NULL published
Kleinberg, E.M., Seiferas, J.I., Infinite exponent partition relations and well-ordered choice 1973 J. Symbolic Logic 38 299-308. NULL published
Truss, J. K., Convex sets of cardinals 1973 Proc. London Math. Soc. Ser. 3. 27 577-599 NULL published
Howard, P., Rubin, H., Rubin, J., The relationship between two weak forms of the axiom of choice 1973 Fund. Math. 80 75-79. NULL published
Dawson, J. W., Ordinal definability in the rank hierarchy 1973 Ann. Math. Logic 6 1-39. NULL published
Wright, J.D.M., All operators on a Hilbert space are bounded 1973 Bull. Amer. Math. Soc. 79 1247-1250. NULL published
Wi'sniewski, K., On functions without fixed points 1973 Comment. Math. Prace Mat. 17 227-228. NULL published
Monro, G.P., Decomposable cardinals 1973a Fund. Math. 80 101-104. NULL published
Truss, J. K., Finite axioms of choice 1973a Ann. Math. Logic 6 147-176. NULL published
Truss, J. K., On certain arbitrarily long sequences of cardinals 1973b Z. Math. Logik Grundlagen Math. 19 209-210. NULL published
Monro, G.P., Models of ZF with the same sets of sets of ordinals 1973b Fund. Math. 80 105-110. NULL published
Truss, J. K., On successors in cardinal arithmetic 1973c Fund. Math. 78 7-21. NULL published
Monro, G.P., Small sets with large power sets 1973c Bull. Amer. Math. Soc. 8 413-421. NULL published
Truss, J. K., The well-ordered and well-orderable subsets of a set 1973d Z. Math. Logik Grundlagen Math. 19 211-214. NULL published
Truss, J. K., Convex sets of cardinals 1973e Proc. London Math. Soc. Ser. 3. 27 577-599 published
Ellentuck, E.M., A model of arithmetic 1974 Bull. Acad. Polon. Sci. S'er. Sci. Math. Astronom. Phys. 22 353-355. NULL published
Lampe, W. A., Subalgebra lattices of unary algebras and an axiom of choice 1974 Colloq. Math. 30 41-55. NULL published
Kruse, A. H., Some results on partitions and Cartesian products in the absence of the axiom of choice 1974 Z. Math. Logik Grundlagen Math. 20 149-172. NULL published
Flannagan, T. B., Axioms of choice 1974 Lecture Notes in Mathematics 499 190-247 published
Baldwin, J.T., Blass, A., An axiomatic approach to rank in model theory 1974 Ann. Math. Logic 7 295-324. NULL published
Felgner, U., Abzählbarkeit und Wohlordenbarkeit 1974 Comment. Math. Helv. 49 114-124. NULL published
Rubin, A., Rubin, J., The cardinality of the set of Dedekind finite cardinals in Fraenkel-Mostowski models 1974 Z. Math. Logik Grundlagen Math. 20 517-528. NULL published
Hodges, W., Six impossible rings 1974 J. Algebra 31 218-244. NULL published
Pogorzelski, W.A., Prucnal, T., Equivalence of the structural completeness theorem for propositional calculus and the Boolean representation theorem 1974 Rep. Math. Logic 3 37-40. NULL published
Monro, G.P., The cardinal equation $2m = m$ 1974 Colloq. Math. 29 1-5. NULL published
Gardiner, G., The equivalence of the Boolean prime ideal theorem and a theorem of functional analysis 1974 Fund. Math. 84 81-86. NULL published
Halpern, J.D., Howard, P., Cardinal addition and the axiom of choice 1974 Bull. Amer. Math. Soc. 80 584-586. NULL published
Diel, J.H., Two definitions of finiteness 1974 Notices Amer. Math. Soc. 21 554-555 published
Truss, J. K., Classes of Dedekind finite cardinals 1974a Fund. Math. 84 187-208. NULL published
Pincus, D., Cardinal representatives 1974a Israel J. Math. 18 321-344. NULL published
Pincus, D., On the independence of the Kinna Wagner principle 1974b Z. Math. Logik Grundlagen Math. 20 503-516. NULL published
Truss, J. K., Models of set theory containing many perfect sets 1974b Ann. Math. Logic 7 197-219. NULL published
van Benthem, J. F. A. K., A set theoretical equivalent for the prime ideal theorem for Boolean algebras 1975 Fund. Math. 89 151-153. NULL published
Blass, A., A forcing proof of the Kechris-Moschovakis constructibility theorem 1975 Proc. Amer. Math. Soc. 47 195-197. NULL published
Stavi, J., A model of ZF with an infinite free complete Boolean algebra 1975 Israel J. Math. 20 149-164. NULL published
Howard, P., L os theorem and the Boolean prime ideal theorem imply the axiom of choice 1975 Proc. Amer. Math. Soc. 49 426-428. NULL published
Sageev, G., An independence result concerning the axiom of choice 1975 Ann. Math. Logic 8 1-184. NULL published
Felgner, U., On \(\aleph_0\)-categorical extra-special \(p\)-groups 1975 Logique et Analyse 71-71 407-428. NULL published
Gross, W. F., Models with Dimension 1975 Monash University thesis thesis
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Morillon, M., Topologie, Analyse Nonstandard et Axiome du Choix 1988 Universit\'e Blaise-Pascal thesis
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De la Cruz, O., Di Prisco, C. A., Weak choice principles 1998a Proc. Amer. Math. Soc. 126 867-876. NULL published
Howard, P., Keremedis, K., Rubin, J., Disjoint unions of topological spaces and choice 1998a Math. Logic Quart. 44 493-508 published
Keremedis, K., Filters, antichains and towers in topological spaces and the axiom of choice 1998a Math. Logic Quart. 44 359-366. NULL published
Howard, P., Keremedis, K., Rubin, H., Rubin, J., Disjoint unions of topological spaces and choice 1998b Math. Logic Quart. 44 493-508. NULL published
Keremedis, K., Extending independent sets to bases and the axiom of choice 1998c Math. Logic Quart. 48 92-98. NULL published
Felgner, U., Truss, J. K., Independence of the Boolean prime ideal theorem from the order extension principle 1999 Math. Logic Quart. 64 199-215. NULL published
Herrlich, H., Keremedis, K., Products, the Baire category theorem, and the axiom of dependent choice 1999 Comment. Math. Univ. Carolinae 40 171-175. NULL published
Howard, P., Rubin, J., Stanley, A., Von Rimsha's transitivity conditions 1999 Math. Logic Quart. Accepted August. NULL published
Dodu, J., Morillon, M., The Hahn-Banach property and the axiom of choice 1999 Math. Logic Quart. 45 299-314. NULL published
Herrlich, H., Keremedis, K., Products, the Baire category theorem, and the axiom of dependent choice 1999a Topology and its Applications. 108 157-167 published
Herrlich, H., Keremedis, K., On countable products of finite Hausdorff spaces 1999b Math. Logic Quart. accepted NULL published
Keremedis, K., Tachtsis, E., On the extensibility of closed filters in \(T_1\) spaces and the existence of well orderable filter bases 1999b Comment. Math. Univ. Carolinae 40 1-11. NULL published
Delhomme, C., Morillon, M., Dependent Choice and Weak Compactness 2000 Notre Dame J. Formal Logic 40 568-573 Published in 1999 published
Keremedis, K., On Weierstrass compact pseudometric spaces and a weak form of the axiom of choice 2000 Topology and its Applications. 108 75-78 published
Keremedis, K., Tachtsis, E., On Lindelöf metric spaces and weak forms of the axiom of choice 2000a Math. Logic Quart. 46 35-44. NULL published
Howard, P., Keremedis, K., Rubin, J., Stanley, A., Paracompactness of metric spaces and the axiom of choice 2000a Math. Logic Quart. 46 219-232. NULL published
Keremedis, K., Disasters in metric topology without choice 2000a Comment. Math. Univ. Carolinae 43 165-174. NULL published
Degen, J.W., Pigeonhole and choice principles 2000a Math. Logic Quart. 46 313-334. NULL published
Howard, P., Keremedis, K., Rubin, J., Stanley, A., Compactness in countable Tychonoff products and choice 2000b Math. Logic Quart. 46 3-16. NULL published
Keremedis, K., On the compactness of \(2^{\Bbb R}\) and some weak forms of the axiom of choice 2000c Math. Logic Quart. accepted NULL published
Luxemburg, W.A.J., Vath, M., The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem 2001 J. Anal. and its Applications. 20 267-279 published
Howard, P., Keremedis, K., Rubin, J., Stanley, A., Tachtsis, E., Non-constructive properties of the real numbers 2001 Math. Logic Quart. 47 423-431. NULL published
De la Cruz, O., Hall, E., Howard, P., Keremedis, K., Rubin, J., Products of compact spaces and the axiom of choice 2001 Math. Logic Quart. July. NULL accepted
Keremedis, K., Tachtsis, E., On Loeb and weakly Loeb Hausdorff spaces 2001 Math. Japon. 53 247-251 NULL published
Keremedis, K., Tachtsis, E., Compact metric spaces and weak forms of the axiom of choice 2001 Math. Logic Quart. 47 117-128. NULL published
Ern'e, M., Constructive order theory 2001 Math. Logic Quart. 47 211-222 published
Keremedis, K., The vector space Kinna-Wagner Principle is equivalent to the axiom of choice 2001a Math. Logic Quart. 47 205-210. NULL published
De la Cruz, O., Hall, E., Howard, P., Rubin, J., Stanley, A., Definitions of compactness and the axiom of choice 2002 J. Symbolic Logic 67 143-161. NULL published
De la Cruz, O., Hall, E., Howard, P., Keremedis, K., Rubin, J., Products of compact spaces and the axiom of choice II 2002 Math. Logic Quart. March. NULL accepted
De la Cruz, O., Finiteness and choice 2002 Fund. Math. 173 57-76. NULL published
Keremedis, K., The failure of the axiom of choice implies unrest in the theory of Lindelöf metric spaces 2002 Math. Logic Quart. accepted NULL published
Herrlich, H., Keremedis, K., Tachtsis, E., Striking Differences between ZF and ZF + Weak Choice in view of Metric Spaces 2002 Quaestiones Math. accepted NULL published
De la Cruz, O., Hall, E., Howard, P., Keremedis, K., Rubin, J., Metric spaces and the axiom of choice 2002A Math. Logic Quart. 49 455-466 published in 2003 published
De la Cruz, O., Hall, E., Howard, P., Keremedis, K., Rubin, J., Unions and the axiom of choice 2002B Math. Logic Quart. 54 620-633 Published in 2008 published
Gutierres, G, On first and second countable spaces and the axiom of choice 2004 Topology and its Applications. 143 93-103 published
Gutierres, G, What is a first countable space 2006 Topology and its Applications. Volume 153, issue 18 3420-3429 published