Locally Beta-closed Spaces

Authors

  • Chanchal Kumar Basu University of Kalyani

Keywords:

β-open, β-closed, β-regular, β-θ-open, β-θ-closed functions, locally β-closed, locally compact T2

Abstract

In this paper, we generalize the notion of β-closedness due to Abd. El-Monsef and Kozae [2] to arbitrary subsets and in terms of it we introduce the class of locally β-closed spaces and also investigate of its several properties. It is observed that although local β-closedness is independent of local compact T2-ness but one can be obtained from the other by the help of a new class of functions viz. β-θ-closed functions which are independent not only of closed functions but also of continuous functions.

Author Biography

  • Chanchal Kumar Basu, University of Kalyani
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Published

2009-07-28

Issue

Vol. 2 No. 1: (January 2009)

Section

Topology

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How to Cite

Locally Beta-closed Spaces. (2009). European Journal of Pure and Applied Mathematics, 2(1), 85-96. https://www.ejpam.com/index.php/ejpam/article/view/176