Kragujevac Journal of Mathematics
University of Kragujevac - Faculty of Science

Totally Weakly Chain Separated Sets in a Topological Space

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Authors: E. DURMISHI, Z. MISAJLESKI AND A. VELKOSKA

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.

Keywords:

Chain connected sets, totally chain separated sets, totally weakly chain separated set.

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