We have the following indirect implication of form equivalence classes:

193 \(\Rightarrow\) 188
given by the following sequence of implications, with a reference to its direct proof:

Implication Reference
193 \(\Rightarrow\) 188 Injectivity, projectivity and the axiom of choice, Blass, A. 1979, Trans. Amer. Math. Soc.

Here are the links and statements of the form equivalence classes referenced above:

Howard-Rubin Number Statement
193:

\(EFP\ Ab\): Every Abelian group is a homomorphic image of a free projective Abelian group.

188:

\(EP\ Ab\): For every Abelian group \(A\) there is a projective Abelian group \(G\) and a homomorphism from \(G\) onto \(A\).

Comment:

Back