Martin's axiom implies that de Caux's space is countably metacompact

Author:
William G. Fleissner

Journal:
Proc. Amer. Math. Soc. **80** (1980), 495-498

MSC:
Primary 54D15; Secondary 03E50, 54A35

MathSciNet review:
581013

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Abstract: De Caux defined a space and, assuming , showed that is normal but not countably metacompact. We assume and show that is countably metacompact.

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DOI:
https://doi.org/10.1090/S0002-9939-1980-0581013-3

Keywords:
Club,
Martin's Axiom,
Dowker space

Article copyright:
© Copyright 1980
American Mathematical Society