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A note on boundedly countably paracompact spaces

Part of: Fairly general properties

Published online by Cambridge University Press:  26 February 2010

P. Fletcher ,
R. A. McCoy  and
R. Slover
P. Fletcher
Affiliation:
Department of Mathematics, College of Arts and Science, Virginia Polytechnic Institute, Blacksburg, Virginia, 24061, U.S.A.
R. A. McCoy
Affiliation:
Department of Mathematics, College of Arts and Science, Virginia Polytechnic Institute, Blacksburg, Virginia, 24061, U.S.A.
R. Slover
Affiliation:
Department of Mathematics, College of Arts and Science, Virginia Polytechnic Institute, Blacksburg, Virginia, 24061, U.S.A.
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Extract

The concepts of bounded paracompactness and bounded metacompactness were introduced and studied in [3]. In this paper we define bounded full normality and show that this concept is equivalent to bounded paracompactness.

It is known that countable paracompactness and countable metacompactness are equivalent properties in a normal space. We show that bounded countable metacompactness is equivalent to bounded countable paracompactness in a normal space and that bounded countable paracompactness is equivalent to bounded paracompactness in a hereditarily paracompact space.

MSC classification

Secondary: 54D20: Noncompact covering properties (paracompact, Lindelöf, etc.)
Type
Research Article
Information
Mathematika , Volume 18 , Issue 2 , December 1971 , pp. 168 - 171
Copyright
Copyright © University College London 1971

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References

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