Weakly strongly star-Menger spaces

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DOI:

https://doi.org/10.4067/S0719-06462021000200287

Abstract

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.

Keywords

Stronlgy star-Menger , star-Menger , almost star-Menger , Weakly star-Menger , covering topological spaces
  • Gaurav Kumar Department of Mathematics, University of Delhi, New Delhi-110007, India.
  • Brij K. Tyagi Atma Ram Sanatan Dharma College, University of Delhi, New Delhi-110021, India.
  • Pages: 287–298
  • Date Published: 2021-08-01
  • Vol. 23 No. 2 (2021)

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Published

2021-08-01

How to Cite

[1]
G. Kumar and B. K. Tyagi, “Weakly strongly star-Menger spaces”, CUBO, vol. 23, no. 2, pp. 287–298, Aug. 2021.

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