Abstract
The purpose of this paper is to introduce weak separation axioms via sgp-closed sets in topological spaces and study some of their properties.
Highlights
General Topology plays very important role in all branches of Mathematics
The purpose of this paper is to introduce weak separation axioms via sgp-closed sets in topological spaces and study some of their properties
In 1970, Levine [4] initiated the study of generalized closed(g-closed) sets, that is, a subset A of a topological space X is g-closed if the closure of A included in every open superset of A and defined a T1/2 space to be one in which the closed sets and g-closed sets coincide
Summary
General Topology plays very important role in all branches of Mathematics. An important concept in General Topology and Real Analysis concerns the variously modified forms of continuity and separation axioms etc. by utilizing the generalized closed sets. An important concept in General Topology and Real Analysis concerns the variously modified forms of continuity and separation axioms etc. The study of g-closed sets has produced some new separation axioms. Some of these have been found useful in computer science and digital topology. Navalagi and Mahesh Bhat [7] introduced the notion of sgp-closed set utilizing pre closure operator. The notions of sgp-open sets, sgp-contonuity are introduced in [7]. In this paper we continue the study of sgp-closed sets, with introducing and characterizing weak forms of separation axioms. Http://www.granthaalayah.com ©International Journal of Research - GRANTHAALAYAH [163-169]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
