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

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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