A Note on Pairwise Continuous Mappings and Bitopological Spaces

Authors

  • Adem Kilicman University Putra Malaysia
  • Zabidin Salleh

Keywords:

Bitopological space, Lindelof Space, Pairwise Compact

Abstract

We shall continue the study of bitopological separation axioms that was begun by Kelly and obtained some results. Furthermore, we introduce a concept of pairwise Lindel\"{o}f bitopological spaces, namely, $p_{2}$-Lindel\"{o}f spaces and their properties are established. We also show that a $p_{2}$-Lindel\"{o}f space is not a hereditary property. Finally, we show that a $p_{2}$-Lindel\"{o}f space is a $p_{2}$-topological property.

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Published

2009-08-18

Issue

Vol. 2 No. 3: (July 2009)

Section

Topology

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How to Cite

A Note on Pairwise Continuous Mappings and Bitopological Spaces. (2009). European Journal of Pure and Applied Mathematics, 2(3), 325-337. https://www.ejpam.com/index.php/ejpam/article/view/289