$mu$-countably compactness and $mumathcal{H}$-countably compactness

Zuhier Altawallbeh; Ibrahim Jawarneh

doi:10.4134/CKMS.c200443

Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2022; 37(1): 269-277

Online first article March 11, 2021 Printed January 31, 2022

https://doi.org/10.4134/CKMS.c200443

$mu$-countably compactness and $mumathcal{H}$-countably compactness

Zuhier Altawallbeh, Ibrahim Jawarneh

Tafila Technical University; Al-Hussein Bin Talal University

Abstract

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Abstract

We define and study the notion of $mu$-countably compact linebreak spaces in generalized topology and $mumathcal{H}$-countably compact spaces which are considered with respect to a hereditary class $mathcal{H}$. Some interesting properties and relations are provided in the paper. Moreover, some preservation of functions properties are studied and investigated.

Keywords: $mu$-countably compactness, $mumathcal{H}$-countably compactness

MSC numbers: Primary 58B34, 58J42, 81T75