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Martin Sleziak
Martin Sleziak
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?

vector-spaces axiom-of-choice
 

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