Weakly strongly star-Menger spaces
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Gaurav Kumar
gaurav.maths.du@gmail.com
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Brij K. Tyagi
brijkishore.tyagi@gmail.com
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DOI:
https://doi.org/10.4067/S0719-06462021000200287Abstract
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.
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