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Research Article | Open Access

On almost set-Menger spaces in bitopological context

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

In this paper, we define the ij-almost-set Menger ( ij-ASM) property in bitopological spaces. We put up some equivalences of ij-almost-set Menger bitopological spaces and investigate the behaviours of such spaces under some different types of mappings. We later take the preservation of these properties under union, subspaces, products into consideration and give some related examples. We finally introduce the concept of ij-almost Pγ-set in bitopological spaces.

Keywords

selection principlesalmost Menger propertyset Mengerbitopological spacescovering properties
CLC number: 03E72, 54D20, 54E55

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AIMS Mathematics
Volume 7 Issue 12,
December 2022
Pages 20579-20593
DOI: 10.3934/math.20221128

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Cite this article:
Açıkgöz NC, Elmalı CS. On almost set-Menger spaces in bitopological context. AIMS Mathematics, 2022, 7(12): 20579-20593. https://doi.org/10.3934/math.20221128

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Received: 01 June 2022
Revised: 26 August 2022
Accepted: 05 September 2022
Published: 15 December 2022
©2022 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)