Star γ Covers and Their Applications to Selection Principles

Tanmayee Datta; Prasenjit Bal; Arnab Ghosh

doi:10.2478/tmmp-2024-0018

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Star γ Covers and Their Applications to Selection Principles

Tatra Mountains Mathematical Publications

Volume 86 (2024): Issue 1 (September 2024)

By: Tanmayee Datta, Prasenjit Bal and Arnab Ghosh

Open Access

|Oct 2024

Abstract

By imposing the star operator on γ covers, we establish the notion of st-γ covers. The interrelationships among many recent variants of γ covers have been identified, and various counterexamples have been shown to distinguish them. An investigation has been conducted on the basic topological attributes of these covers. We have also examined the implications between various selection principles and topological games in the context of the class of st-γ coverings.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2024-0018 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 175 - 184

Submitted on: Mar 12, 2024

Accepted on: Jun 8, 2024

Published on: Oct 20, 2024

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

γ-covers,

star operator,

selection principles,

topological game

Related subjects:

Mathematics,

General mathematics

© 2024 Tanmayee Datta, Prasenjit Bal, Arnab Ghosh, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 86 (2024): Issue 1 (September 2024)