Some More Conservation Results on the Baire Category Theorem

✍ Scribed by Takeshi Yamazaki

Publisher: John Wiley and Sons
Year: 2000
Tongue: English
Weight: 181 KB
Volume: 46
Category: Article
ISSN: 0044-3050
DOI: 10.1002/(sici)1521-3870(200001)46:1<105::aid-malq105>3.0.co;2-2

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## Abstract We show that the statement (K12) “separable, 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 axi