Nearly Menger covering property via bitopological spaces

Necati Can Açıkgöz; Ceren Sultan Elmalı; Necati Can Açıkgöz; Ceren Sultan Elmalı

doi:10.3934/math.20241623

AIMS Mathematics

2024, Volume 9, Issue 12: 34042-34066. doi: 10.3934/math.20241623

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Research article

Nearly Menger covering property via bitopological spaces

Department of Mathematics, Erzurum Technical University, Yakutiye, Erzurum 25050, Turkey

Received: 28 October 2024 Revised: 24 November 2024 Accepted: 27 November 2024 Published: 03 December 2024
MSC : 54A10, 54D20, 54E55

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.
- selection principles,
- covering properties,
- bitopological spaces,
- Menger spaces,
- generalized open sets
Citation: Necati Can Açıkgöz, Ceren Sultan Elmalı. Nearly Menger covering property via bitopological spaces[J]. AIMS Mathematics, 2024, 9(12): 34042-34066. doi: 10.3934/math.20241623

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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.

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