On gso-Closed Sets in Topological Spaces

M. I. Irshad

Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.

P. Elango *

Department of Mathematics, Faculty of Science, Eastern University, Sri Lanka.

*Author to whom correspondence should be addressed.


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.

Keywords: Generalized closed sets, continuous functions, generalized continuous functions.


How to Cite

Irshad, M. I., and P. Elango. 2019. “On Gso-Closed Sets in Topological Spaces”. Advances in Research 18 (1):1-5. https://doi.org/10.9734/AIR/2019/46559.

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