This paper is published in Volume-4, Issue-4, 2018
Area
Mathematics(Topology)
Author
Govindappa Navalagi
Co-authors
R. G. Charantimath
Org/Univ
Kalpataru Institute of Technology, Tiptur, Karnataka, India
Pub. Date
25 July, 2018
Paper ID
V4I4-1345
Publisher
Keywords
Semipreopen sets, gsp-closed sets, Preopen sets, gs-closed sets, rps-closed sets, gsp-irresoluteness, pre-gsp-continuous functions and rps-irresolute functions

Citationsacebook

IEEE
Govindappa Navalagi, R. G. Charantimath. Some allied gsp-continuous, open and closed functions in topology, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.

APA
Govindappa Navalagi, R. G. Charantimath (2018). Some allied gsp-continuous, open and closed functions in topology. International Journal of Advance Research, Ideas and Innovations in Technology, 4(4) www.IJARIIT.com.

MLA
Govindappa Navalagi, R. G. Charantimath. "Some allied gsp-continuous, open and closed functions in topology." International Journal of Advance Research, Ideas and Innovations in Technology 4.4 (2018). www.IJARIIT.com.

Abstract

In 1995, J.Dontchev has defined and studied the notions of gsp-open sets, gsp-closed sets,gsp-continuous functions and gsp-irresolute functions in topological spaces. In the literature, many topologists have been utilized and defined various concepts using these gsp-closed sets in topology. Quite recently, Navalagi et al have utilized these gsp-closed sets and gsp-continuity to define and study the concepts of gsp-separation axioms, gsp-Hausdorff spaces, allied gsp-regularity axioms and allied gsp-normality axioms in topology. In this paper, we define and study the notions of allied - gsp-continuity, gsp-openness, gsp-closedness, totally – gsp- continuous functions and gsp-compactness in topology.
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