Does the statement "Every short exact sequence of vector spaces splits" imply the axiom of choice?
106670
Existence of vector space complement and axiom of choice
151830
Exact sequence splits?
151467
An infinite generating set of a finite dimensional vector space contains a basis
102458
Subspace generated by permutations of a vector in a vector space
87451
Construction of matrices under ZFC axioms
151161
norms on vector space are equivalent iff they have same topology
69337
Zorn's Lemma And Axiom of Choice
104771
Dedekind's cut and axioms
88736
How does the Axiom of Extensionality prove the uniqueness of Specified sets?
132287
Axiom of Choice and Right Inverse
110654
Vector Spaces and AC
17624
Axiom of Choice iff Every set has a choice function
142315
How does the Axiom of Regularity apply to $A=\{1,2,3\}$?
118508
Is the axiom of choice needed in proving that metric spaces in which every infinite subset has a limit point are compact?
31509
Is axiom of choice necessary for proving that every infinite set has a countably infinite subset?
120064
Proving that without the axiom of choice there is a set with an accumulation point that isn'tthe limit of a convergeant sequence
153935
A weaker Axiom of Infinity?