TY - JOUR
AU - Kumar, Gaurav
AU - Tyagi, Brij K.
PY - 2021/08/01
Y2 - 2022/08/17
TI - Weakly strongly star-Menger spaces
JF - CUBO, A Mathematical Journal
JA - CUBO
VL - 23
IS - 2
SE - Articles
DO - 10.4067/S0719-06462021000200287
UR - https://revistas.ufro.cl/ojs/index.php/cubo/article/view/2717
SP - 287–298
AB - A space \(X\) is called weakly strongly star-Menger space if for each sequence (\(\mathcal{U}_{n} : n \in \omega\)) of open covers of \(X\), there is a sequence \((F_n : n\in\omega)\) of finite subsets of \(X\) such that \(\overline{\bigcup_{n\in\omega} St(F_n, \mathcal{U}_n)}\) is \(X\). In this paper, we investigate the relationship of weakly strongly star-Menger spaces with other related spaces. It is shown that a Hausdorff paracompact weakly star Menger \(P\)-space is star-Menger. We also study the images and preimages of weakly strongly star-Menger spaces under various type of maps.
ER -