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On soft p c -separation axioms

On soft p c -separation axioms AbstractMany mathematicians defined and studied soft separation axioms and soft continuity in soft spaces by using ordinary points of a topological space X. Also, some of them studied the same concepts by using soft points. In this paper, we introduce the concepts of soft pc−Ti{p}_{c}-{T}_{i}and soft pc−Ti⁎{p}_{c}-{T}_{i}^{\ast }, i=0,1,2i=0,1,2by using the concept of soft pc{p}_{c}-open sets in soft topological spaces. We explore several properties of such spaces. We also investigate the relationship among these spaces and provide a counter example when it is needed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Demonstratio Mathematica de Gruyter

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Publisher
de Gruyter
Copyright
© 2020 Qumri H. Hamko et al., published by De Gruyter
ISSN
0420-1213
eISSN
2391-4661
DOI
10.1515/dema-2020-0003
Publisher site
See Article on Publisher Site

Abstract

AbstractMany mathematicians defined and studied soft separation axioms and soft continuity in soft spaces by using ordinary points of a topological space X. Also, some of them studied the same concepts by using soft points. In this paper, we introduce the concepts of soft pc−Ti{p}_{c}-{T}_{i}and soft pc−Ti⁎{p}_{c}-{T}_{i}^{\ast }, i=0,1,2i=0,1,2by using the concept of soft pc{p}_{c}-open sets in soft topological spaces. We explore several properties of such spaces. We also investigate the relationship among these spaces and provide a counter example when it is needed.

Journal

Demonstratio Mathematicade Gruyter

Published: Jun 8, 2020

References