PMEA and first countable, countably paracompact spaces-Reference-Cited by-同舟云学术

PMEA and first countable, countably paracompact spaces

Published:1984 Issue:3 Volume:92 Page:455-460
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Burke Dennis K.

Abstract

The Product Measure Extension Axiom is used to prove a " θ \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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-092-03/S0002-9939-1984-0759673-7/S0002-9939-1984-0759673-7.pdf

Reference7 articles.

1. A note on countably paracompact spaces and metrization;Aull, C. E.;Proc. Amer. Math. Soc.,1965

2. Separation properties in Moore spaces;Fleissner, William G.;Fund. Math.,1978

3. \bysame, The normal Moore space conjecture and large cardinals, Handbook of Set-Theoretic Topology (to appear).

4. Countable paracompactness and weak normality properties;Mack, John;Trans. Amer. Math. Soc.,1970

5. A provisional solution to the normal Moore space problem;Nyikos, Peter J.;Proc. Amer. Math. Soc.,1980

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