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Research Article Open access CC BY 4.0

On gso-Closed Sets in Topological Spaces

M. I. Irshad, P. Elango

Advances in Research · pp. 1–5 · Published 25 Jan 2019

10.9734/AIR/2019/46559

Abstract

In this paper, a new kind of closed sets called generalized semi open-closed sets (briefly gso-closed sets) are introduced in topological spaces. A subset A of a topological space X is called a gso-closed set if A is both a g-closed set and a semi-open set in X. The properties of the gso-closed sets are investigated and they are compared with the existing relevant generalized closed sets. The generalized semi-open continuous function between topological spaces are also defined and their properties are investigated.

Generalized closed sets continuous functions generalized continuous functions.

Cited by 1

Study of α*-Homeomorphisms by α*-closed Sets

K. Vithyasangaran, P. Elango · Advances in Research · 2019

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