A-paracompactness and Strongly A-screenability in Topological Groups

Authors

  • Muhammad Kashif Maqbool The Islamia University of Bahawalpur http://orcid.org/0000-0001-9606-9042
  • Awais Yousaf The Islamia University of Bahawalpur http://orcid.org/0000-0002-3507-9367
  • Muhammad Siddique Bosan Department of Mathematics, COMSATS Institute of Information Technology, Chack Shahzad, Islamabad 44000, Pakistan
  • Saeid Jafari College of Vestsjaelland South, 4200 Slagelse, Denmark

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i2.3637

Keywords:

A-paracompactness, Semi \delta-topological group, Strongly A-screenability, N-capc disjoint set

Abstract

A space is said to be strongly A-screenable if there exists a σ-discrete refinement for each open cover. In this article, we have investigated some of the features of A-paracompact and strongly A-screenable spaces in topological and semi topological groups. We predominantly show that (i) Topological direct product of (countably) A-paracompact topological group and a compact topological group is (countably) A-paracompact topological group. (ii) All the left and right cosets of a strongly A-screenable subset H of a semi topological group (G, ∗, τ ) are strongly A-creenable.

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Published

2020-04-29

Issue

Vol. 13 No. 2: (April 2020)

Section

Nonlinear Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

A-paracompactness and Strongly A-screenability in Topological Groups. (2020). European Journal of Pure and Applied Mathematics, 13(2), 280-286. https://doi.org/10.29020/nybg.ejpam.v13i2.3637

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