TY - JOUR
AU - Roy, B.
AU - Noiri, T.
PY - 2020/12/30
Y2 - 2024/09/14
TI - Applications on operations on weakly compact generalized topological spaces
JF - Carpathian Mathematical Publications
JA - Carpathian Math. Publ.
VL - 12
IS - 2
SE - Scientific articles
DO - 10.15330/cmp.12.2.461-467
UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/4018
SP - 461-467
AB - <p>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.</p>
ER -