PMEA and first countable, countably paracompact spaces
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- by Dennis K. Burke PDF
- Proc. Amer. Math. Soc. 92 (1984), 455-460 Request permission
Abstract:
The Product Measure Extension Axiom is used to prove a "$\theta$-expandable" type property for first countable, countably paracompact (countably metacompact) spaces. Among other results, it follows (under PMEA) that countably paracompact Moore spaces are metrizable, and first countable, countably paracompact Hausdorff spaces are strongly collectionwise normal with respect to compact sets.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 455-460
- MSC: Primary 54D15; Secondary 54D18, 54E30
- DOI: https://doi.org/10.1090/S0002-9939-1984-0759673-7
- MathSciNet review: 759673