Applications on operations on weakly compact generalized topological spaces

Authors

  • B. Roy Women’s Christian College, 700026, Kolkata, India https://orcid.org/0000-0003-3929-8601
  • T. Noiri 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-Ken, 869-5142, Japan
https://doi.org/10.15330/cmp.12.2.461-467

Keywords:

operation, γμ-open set, γμ-compact space
Published online: 2020-12-30

Abstract

In this paper, we have introduced the notion of operations on a generalized topological space (X,μ) to investigate the notion of γμ-compact subsets of a generalized topological space and to study some of its properties. It is also shown that, under some conditions, γμ-compactness of a space is equivalent to some other weak forms of compactness. Characterizations of such sets are given. We have then introduced the concept of γμ-T2 spaces to study some properties of γμ-compact spaces. This operation enables us to unify different results due to S. Kasahara.

Article metrics
How to Cite
(1)
Roy, B.; Noiri, T. Applications on Operations on Weakly Compact Generalized Topological Spaces. Carpathian Math. Publ. 2020, 12, 461-467.