A new extension of countable compactness
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: Fundamenta Mathematicae
سال: 1970
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-67-1-1-9