• θω-CLOSED SETS IN TOPOLOGICAL SPACES

S. Ganesan, O. Ravi*, R. Latha

Abstract


In this paper, we offer a new class of sets called -closed sets in topological spaces and we study some of its basic properties. The family of -closed sets of a topological space forms a topology and is denoted by  . Notice that this class of sets lies between the class of -closed sets and the class of -closed sets. Using these sets, we obtain a decomposition of -continuity and we introduce new spaces called T and gT . Using these spaces we obtain another decomposition of T1/2-spaces.

Keywords


Topological space, -closed set, -closed set, -open set, -closed set, -continuous function, lc*-continuous function, T -space, gT -space.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
© 2010-2020 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter