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New characterisations of pseudocompact spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
In this paper, we give a new characterisation of pseudo-compact spaces, namely a space X is pseudocompact if and only if each σ-point finite open cover of X has a finite subfamily whose union is dense. As a corollary, we show that every pseudocompact σ-metacompact (or screenable) space is compact, which sharpens some known results.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 38 , Issue 2 , October 1988 , pp. 293 - 298
- Copyright
- Copyright © Australian Mathematical Society 1988