On c -Compactness in Topological and Bitopological Spaces

Rehab Alharbi, Jamal Oudetallah, Mutaz Shatnawi and Iqbal M. Batiha ()
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Rehab Alharbi: Department of Mathematics, Jazan University, Jazan 2097, Saudi Arabia
Jamal Oudetallah: Department of Mathematics, Irbid National University, Irbid 21110, Jordan
Mutaz Shatnawi: Department of Mathematics, Irbid National University, Irbid 21110, Jordan
Iqbal M. Batiha: Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan

Mathematics, 2023, vol. 11, issue 20, 1-12

Abstract: The primary goal of this research is to initiate the pairwise c -compact concept in topological and bitopological spaces. This would make us to define the concept of c -compact space with some of its generalization, and present some necessary notions such as the H -closed, the quasi compact and extremely disconnected compact spaces in topological and bitopological spaces. As a consequence, we derive numerous theoretical results that demonstrate the relations between c -separation axioms and the c -compact spaces.

Keywords: pairwise compact; pairwise c-compact; pairwise H -closed; pairwise quasi compact space (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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