TY - JOUR AU - Kumar, Gaurav AU - Tyagi, Brij K. PY - 2021/08/01 Y2 - 2024/03/28 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://cubo.ufro.cl/ojs/index.php/cubo/article/view/2717 SP - 287–298 AB - <p class="p1">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 \(X\).<span class="Apple-converted-space">&nbsp;</span>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<span class="Apple-converted-space">&nbsp;</span>of weakly strongly star-Menger spaces under various type of maps.</p> ER -