Totally weakly chain separated sets in a topological space
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University Library in Kragujevac
DOI
10.46793/kgjmat2307.1075d
Abstract
In this article, by using the notion of chain, we give some characterizations of totally separated spaces. Then, we give some examples, study the properties of those spaces and give new proofs. Furthermore, by using the notion of chain, we introduce the notions of totally weakly chain separated and totally chain separated sets in a topological space, we state some useful aspects of these sets as well as the various relationships between them and by using these notions we give some characterizations of discrete and totally separated spaces.
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Department of Mathematics, Faculty of Natural Sciences and Mathematics, University of Tetovo, North Macedonia, E. DURMISHI, Z. MISAJLESKI, Chair of Mathematics, Faculty of Civil Engineering, Ss. Cyril and Methodius University, Skopje,, A. VELKOSKA, Faculty of Communication Networks and Security, University of Information Science and Technology (2023). Totally Weakly Chain Separated Sets in a Topological Space. Kragujevac Journal of Mathematics, 47(7), 1074-1086.