Applications on operations on weakly compact generalized topological spaces


  • B. Roy Women’s Christian College, 700026, Kolkata, India
  • T. Noiri 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-Ken, 869-5142, Japan


operation, $\gamma_{_\mu}$-open set, $\gamma_{_\mu}$-compact space
Published online: 2020-12-30


In this paper, we have introduced the notion of operations on a generalized topological space $(X,\mu)$ to investigate the notion of $\gamma_{_\mu}$-compact subsets of a generalized topological space and to study some of its properties. It is also shown that, under some conditions, $\gamma_{_\mu}$-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 $\gamma_{_\mu}$-$T_{_2}$ spaces to study some properties of $\gamma_{_\mu}$-compact spaces. This operation enables us to unify different results due to S. Kasahara.

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