On the Compactness and Countable Compactness of 2Rin ZF
نویسندگان
چکیده
منابع مشابه
Countable Choice and Compactness
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 compact in the convex topology (an alternative to the weak topology in ZF). We prove that this ball is (closely) convex-compact in the convex topology. Given a set I, a real number p ≥ 1 (resp. p = 0), and some closed subse...
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ژورنال
عنوان ژورنال: Bulletin of the Polish Academy of Sciences Mathematics
سال: 2007
ISSN: 0239-7269,1732-8985
DOI: 10.4064/ba55-4-1