Uniform Eberlein spaces and the finite axiom of choice

Marianne Morillon

We work in set-theory without choice $\ZF$. Given a closed subset $F$ of $[0,1{]}^I$ which is a bounded subset of ${\ell }^1(I)$ ({\em resp.} such that $F\subseteq {\ell }^0(I)$), we show…