KC-bitopological spaces

Hamza Qoqazeh; Ali Atoom; Maryam Alholi; Eman Almuhur; Eman Hussein; Anas Owledat; Abeer Al-Nana

doi:10.3934/math.20241545

KC-bitopological spaces

Hamza Qoqazeh, Ali Atoom, Maryam Alholi, Eman Almuhur, Eman Hussein, Anas Owledat, Abeer Al-Nana

Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

A topological space (X, τ) is called a KC-space when every compact subset of X is closed. The aim of this paper is to introduce new, namely KC-bitopological spaces and pairwise KC-topological spaces “P-KC-topological spaces”. We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on KC-bitopological spaces and pairwise KC-topological spaces. Several examples are discussed, and many well-known theories are generalized.

Original language	English
Pages (from-to)	32182-32199
Number of pages	18
Journal	AIMS Mathematics
Volume	9
Issue number	11
DOIs	https://doi.org/10.3934/math.20241545
State	Published - 2024

Keywords

bitopological space
compact function
K-function
KC-spaces
P-compact
P-Hausdorff
P-KC-spaces

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10.3934/math.20241545

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AU - Atoom, Ali

AU - Alholi, Maryam

AU - Almuhur, Eman

AU - Hussein, Eman

AU - Owledat, Anas

AU - Al-Nana, Abeer

PY - 2024

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AB - A topological space (X, τ) is called a KC-space when every compact subset of X is closed. The aim of this paper is to introduce new, namely KC-bitopological spaces and pairwise KC-topological spaces “P-KC-topological spaces”. We examined the properties of these concepts and showed the relationships between these concepts and other bitopological spaces. We also discussed the effect of some types of functions on KC-bitopological spaces and pairwise KC-topological spaces. Several examples are discussed, and many well-known theories are generalized.

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KW - compact function

KW - K-function

KW - KC-spaces

KW - P-compact

KW - P-Hausdorff

KW - P-KC-spaces

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VL - 9

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JO - AIMS Mathematics

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ER -

KC-bitopological spaces

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