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math.FA2008
Uniform Eberlein spaces and the finite axiom of choice
Marianne Morillon
We work in set-theory without choice $\ZF$. Given a closed subset of which is a bounded subset of ({\em resp.} such that ), we show…
math.FA2008
Countable Choice and Compactness
Marianne Morillon
We work in set-theory without choice ZF. Denoting by AC(N) the countable axiom of choice, we show in ZF+AC(N) that the closed unit ball of a uniformly convex Banach space is compac…