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Some weak forms of the Baire category theorem

✍ Scribed by Kyriakos Kermedis

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
109 KB
Volume
49
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We show that the statement (K12) β€œseparable, countably compact, regular spaces are Baire” is deducible from a strictly weaker form than AC, namely, CAC(ℝ) (the axiom of choice for countable families of non‐empty subsets of the real line ℝ). We also find some characterizations of the axiom of dependent choices.

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