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Separating H-sets by Open Sets

Published online by Cambridge University Press:  20 November 2018

Jack Porter  and
Mohan Tikoo
Jack Porter
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, KS 66045, USA e-mail: porter@ku.edu
Mohan Tikoo
Affiliation:
Department of Mathematics, Southeast Missouri State University, Cape Girardeau, MO 63701, USA e-mail: mtikoo@semo.edu
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Abstract

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In an $\text{H}$ -closed, Urysohn space, disjoint $\text{H}$ -sets can be separated by disjoint open sets. This is not true for an arbitrary H-closed space even if one of the $\text{H}$ -sets is a point. In this paper, we provide a systematic study of those spaces in which disjoint $\text{H}$ -sets can be separated by disjoint open sets.

Keywords

54C0854D1054D15H-setH-closed0-continuous

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 53 , Issue 2 , 01 June 2010 , pp. 360 - 366
Copyright
Copyright © Canadian Mathematical Society 2010

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