No CrossRef data available.
Article contents
Pair-Countable, Closure-Preserving Covers of Compact Sets
Published online by Cambridge University Press: 09 April 2009
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-T2, then X is paracompact. Locally paracompact is taken to mean that each point X has an open set with paracompact closure.
MSC classification
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 44 , Issue 1 , February 1988 , pp. 138 - 142
- Copyright
- Copyright © Australian Mathematical Society 1988