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When X* is a P′-Space

Published online by Cambridge University Press:  20 November 2018

Mary Anne Swardson  and
Paul J. Szeptycki
Mary Anne Swardson
Affiliation:
Department of Mathematics, 321 Morton Hall, Ohio University, Athens, OH, USA 45701, e-mail: swardson@oucsace.cs.ohiou.edu, szeptyck@oucsace.cs.ohiou.edu
Paul J. Szeptycki
Affiliation:
Department of Mathematics, 321 Morton Hall, Ohio University, Athens, OH, USA 45701, e-mail: swardson@oucsace.cs.ohiou.edu, szeptyck@oucsace.cs.ohiou.edu
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Abstract

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In [7,3.1 ] the authors show that if a space X is realcompact and locally compact, then X* is a P′-space. In this paper we show that the hypothesis of realcompactness can be weakened. We also look at other conditions on X that are sufficient to guarantee that X* is a P′-space.

Keywords

54D6054D3554D45P′-spaceorealcompactp-realcompactnearly realcompactlocally compacthyperisocompactstrongly isocompact(strongly) relatively pseudocompactwell separated

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 39 , Issue 4 , 01 December 1996 , pp. 476 - 485
Copyright
Copyright © Canadian Mathematical Society 1996

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