THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Eman Almuhur

,

Manal Al-Labadi

ON IRRESOLUTE FUNCTIONS IN IDEAL TOPOLOGICAL SPACES

ABSTRACT
In the ideal topological spaces (X, τ, I) and (Y, J, σ), we define (I, J)-irresolute function, weakly-(I, J)-irresolute, strongly-(I, J)-irresolute functions, semi-I-open sets and quasi-H-closed spaces modulo ideal I. We discuss properties of (I, J)-irresolute function mapping connected, closed, compact ideal spaces modulo I and semi-I-isolated points. (I, J)-Homeomorphisim on presemi-I-open sets and closure properties of quasi-H-closed spaces and semi-I-open subsets are explored in this paper.
KEYWORDS
ideal space, (I, J)-irresolute function, quasi-H-closed space
PAPER SUBMITTED: 2022-08-24
PAPER REVISED: 2022-09-26
PAPER ACCEPTED: 2022-09-28
PUBLISHED ONLINE: 2023-01-29
DOI REFERENCE: https://doi.org/10.2298/TSCI22S2703A
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2022, VOLUME 26, ISSUE Special issue 2, PAGES [703 - 709]
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On irresolute functions in ideal topological spaces

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence