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
Source Publication
Journal of the Australian Mathematical Society
Recommended Citation
Potoczny, H. (1988). Pair-Countable, Closure-Preserving Covers of Compact Sets. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 44(1), 138–142. https://doi.org/10.1017/S1446788700031426
COinS
Comments
Copyright © Australian Mathematical Society 1988
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