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Research Article | Open Access

Nearly Menger covering property via bitopological spaces

Necati Can Açıkgöz( ), Ceren Sultan Elmalı
Department of Mathematics, Erzurum Technical University, Yakutiye, Erzurum 25050, Turkey
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Abstract

This paper is a continuation and complement for previous works on selective covering properties. We introduce the novel concept of the nearly Menger property in a bitopological context. We demonstrate its interrelations with existing covering properties and construct certain equivalences between those. We also investigate various properties of nearly Menger bitopological spaces by considering it under subspaces, products, and certain type of mappings.

Keywords

selection principlescovering propertiesbitopological spacesMenger spacesgeneralized open sets
CLC number: 54A10, 54D20, 54E55

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 34042-34066
DOI: 10.3934/math.20241623

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Cite this article:
Açıkgöz NC, Elmalı CS. Nearly Menger covering property via bitopological spaces. AIMS Mathematics, 2024, 9(12): 34042-34066. https://doi.org/10.3934/math.20241623

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Received: 28 October 2024
Revised: 24 November 2024
Accepted: 27 November 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)