• PRE-rg-CLOSED FUNCTIONS IN TOPOLOGY

GOVINDAPPA NAVALAGI, SUJATA MOOKANAGOUDAR

Abstract


Levine in 1970, introduced the concept of generalized closed (g-closed) sets in topological space and a class of topological spaces called T1/2-spaces. Palaniappan et al in 1993, introduced the notions of regular generalized (in brief, rg-) closed sets, rg-continuous functions and rg-irresoluteness and in 1997, Arokia Rani et al. introduced and studied the concepts of, rg-openness and rg-closedness in topology. In 2013, Navalagi et al have defined and studied the concepts of pre-rg - openness and other allied rg-open functions .The purpose of this paper is to investigate the concept of pre-regular generalized (in brief, pre-rg-) closed functions and some allied  rg-closed  functions  in topological spaces.  Also, we study some more properties of rg-closed functions.


Keywords


regular open sets, regular closed sets, g-closed sets and rg-closed sets, rg-openness, rg-closedness, rg-continuity, rg-irresoluteness, pre-rg-openness.

Full Text:

PDF


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 Unported License.
© 2010-2018 International Journal of Mathematical Archive (IJMA)
Copyright Agreement & Authorship Responsibility
Web Counter