Somewhere dense on upper bounded $$T_{0}$$-Alexandroff spaces

Abstract

Studying different types of generalized open sets is a major area of research in topology during the last few decades. In this paper, we study somewhere dense sets and$$swd$$-continuity on upper-bounded $$T_{0}$$-Alexandroff spaces. We introduce and investigate various types of generalized somewhere dense; namely $$^{*}sw$$-dense, $$sw^{*}$$-dense, and $$sw^{**}$$-dense. We prove that a subset $$A$$ of a topological space is preclosed if and only if it is $$p^{*}gp$$-closed sets. We give a characterization for a set $$A$$ to be pre$$^{*}$$-closed.

Article Details

How to Cite
Elostath, L., & Mahdi, H. . (2020). Somewhere dense on upper bounded $$T_{0}$$-Alexandroff spaces. Journal of Advanced Studies in Topology, 11(1-2), 6–15. Retrieved from http://m-sciences.com/?journal=jast&page=article&op=view&path[]=1636
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Original Articles

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