On $P_{\Sigma}$ and weakly $P_{\Sigma}$ spaces

Authors

  • M. Khan Department of Mathematics, Goverment College, Rajanpur, Pakistan Author
  • T. Noiri Department of Mathematics, Yatsushiro College of Technology, Yatsushiro, Kumamoto, 866 Japan Author
  • B. Ahmad Department of Mathematics, Centre of Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan Author

Keywords:

$P_{\Sigma}$, weakly-$P_{\Sigma}$, strongly $s$-regular, $s^*$-regular, $s$-regular, almost-regular, regular closed, semi-open, almost-continuous, almost-open

Subjects:

54D10, 54B05 54C08

Abstract

In this paper, we point out that properties $P_{\Sigma}$ due to Wang [18] and strongly $s$-regular due to Ganster [5] are equivalent to each other. We further study these spaces and weakly-$P_{\Sigma}$ spaces defined by the second author [15].

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Published

1996-10-15

Issue

Vol. 48 No. 3–4 (1996): Vol. 48, Issue 3–4

Section

Articles

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Copyright (c) 1996 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.