Applications on operations on weakly compact generalized topological spaces
Keyword(s):
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.
2021 ◽
Vol ahead-of-print
(ahead-of-print)
◽
2019 ◽
2016 ◽
Vol 4
(2)
◽
pp. 151-159
1977 ◽
Vol 23
(2)
◽
pp. 194-201
◽
2021 ◽
Vol 39
(3)
◽
pp. 123-135