Some weak forms of the Baire category theorem

Mathematical Logic Quarterly 49 (4):369 (2003)
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Abstract

We show that the statement “separable, countably compact, regular spaces are Baire” is deducible from a strictly weaker form than AC, namely, CAC . We also find some characterizations of the axiom of dependent choices

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10.1002/malq.200310039

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References found in this work

Disasters in topology without the axiom of choice.Kyriakos Keremedis - 2001 - Archive for Mathematical Logic 40 (8):569-580.
Sequential compactness and the axiom of choice.Norbert Brunner - 1983 - Notre Dame Journal of Formal Logic 24 (1):89-92.
Kategoriesätze und multiples auswahlaxiom.Norbert Brunner - 1983 - Mathematical Logic Quarterly 29 (8):435-443.

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