Metacompactness, paracompactness, and interior-preserving open covers-Reference-Cited by-同舟云学术

Metacompactness, paracompactness, and interior-preserving open covers

Published:1979 Issue:2 Volume:249 Page:373-385
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Junnila Heikki J. K.

Abstract

In this paper metacompactness and paracompactness are characterized in terms of the existence of closure-preserving closed refinements and interior-preserving open star-refinements of interior-preserving directed open covers of a topological space. Several earlier results on metacompact spaces and paracompact spaces are obtained as corollaries to these characterizations. For a Tychonoff-space X, metacompactness of X is characterized in terms of orthocompactness of X × β X X\, \times \,\beta X .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1979-249-02/S0002-9947-1979-0525679-9/S0002-9947-1979-0525679-9.pdf

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