Martin’s axiom implies that de Caux’s space is countably metacompact
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- by William G. Fleissner PDF
- Proc. Amer. Math. Soc. 80 (1980), 495-498 Request permission
Abstract:
De Caux defined a space $S(\mathcal {L})$ and, assuming $\clubsuit$, showed that $S(\mathcal {L})$ is normal but not countably metacompact. We assume $\mathrm {MA}_{\omega _1}$ and show that $S(\mathcal {L})$ is countably metacompact.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 495-498
- MSC: Primary 54D15; Secondary 03E50, 54A35
- DOI: https://doi.org/10.1090/S0002-9939-1980-0581013-3
- MathSciNet review: 581013