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On subparacompact and countably subparacompact spaces

Published online by Cambridge University Press:  17 April 2009

M.K. Singal  and
Pushpa Jain
M.K. Singal
Affiliation:
Institute of Advanced Studies, Meerut University, Meerut, India.
Pushpa Jain
Affiliation:
Maitreyi College, Delhi University, Delhi, India.
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Abstract

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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

References

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