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On subparacompact and countably subparacompact spaces
Published online by Cambridge University Press: 17 April 2009
Abstract
A space is said to be subparacompact if every open covering of it has a σ-discrete closed refinement. Subparacompactness is equivalent to Fσ -screenability of McAuley and also to σ-paracompactness of Arhangel'skiĭ. Some properties of these spaces have been obtained in this note. Countably subparacompact spaces, which can be defined in an analogous manner, have also been studied.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 5 , Issue 3 , December 1971 , pp. 289 - 304
- Copyright
- Copyright © Australian Mathematical Society 1971
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