We have the following indirect implication of form equivalence classes:
Implication | Reference |
---|---|
9 \(\Rightarrow\) 128 |
Realisierung und Auswahlaxiom, Brunner, N. 1984f, Arch. Math. (Brno) |
Here are the links and statements of the form equivalence classes referenced above:
Howard-Rubin Number | Statement |
---|---|
9: | Finite \(\Leftrightarrow\) Dedekind finite: \(W_{\aleph_{0}}\) Jech [1973b]: \(E(I,IV)\) Howard/Yorke [1989]): Every Dedekind finite set is finite. |
128: | Aczel's Realization Principle: On every infinite set there is a Hausdorff topology with an infinite set of non-isolated points. |
Comment: