Title

Pair-Countable, Closure-Preserving Covers of Compact Sets

Document Type

Article

Publication Date

1988

Abstract

In this paper, we prove the following results: (1) if a topological space X has a pair-countable, closure-preserving cover of compact sets, then X is locally paracompact at each point of X and X has a dense open subspace which is locally σ-compact. In addition, if X is also collectionwise- T 2 , then X is paracompact. Locally paracompact is taken to mean that each point X has an open set with paracompact closure. © Australian Mathematical Society 1988

Comments

The "Link to Full Text" button on this page loads the open access article version of record, hosted at Cambridge University Press. The publisher retains permissions to re-use and distribute this article.

DOI

10.1017/S1446788700031426

Source Publication

Journal of the Australian Mathematical Society

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