« first day (912 days earlier)   

4:01 PM
12
Q: Vector Spaces and AC

KryptodudeI know that the proof that every vector space has a basis uses the Axiom of Choice, or Zorn's Lemma. If we consider an axiom system without the Axiom of Choice, are there vector spaces that provably have no basis?

 

« first day (912 days earlier)