2021•J. Math. Comput. Sci.Requires access

Some operators on µ-pre*-closed sets in generalized topological spaces

M. Padmavathi, P. Sivagami, G. Hari Siva Annam

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Abstract

Using the idea of µ-pre*-closed set in generalized topological space, the concept of µ-pre*-closure and µ-pre*-interior in generalized topological space have been studied and several of their properties are proved. In this paper we are introducing some new operators in µ-pre* closed sets in generalized topological space as µ-pre*- dervied, µ-pre*-border, µ-pre*-frontier and µ-pre*-exterior. Also the aim is to deal with some basic properties.

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What this paper is about

Using the idea of µ-pre*-closed set in generalized topological space, the concept of µ-pre*-closure and µ-pre*-interior in generalized topological space have been studied and several of their properties are proved. In this paper we are introducing some new operators in µ-pre* closed sets in generalized topological space as µ-pre*- dervied, µ-pre*-border, µ-pre*-frontier and µ-pre*-exterior. Also the aim is to deal with some basic properties.

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Available abstract

Using the idea of µ-pre*-closed set in generalized topological space, the concept of µ-pre*-closure and µ-pre*-interior in generalized topological space have been studied and several of their properties are proved. In this paper we are introducing some new operators in µ-pre* closed sets in generalized topological space as µ-pre*- dervied, µ-pre*-border, µ-pre*-frontier and µ-pre*-exterior. Also the aim is to deal with some basic properties.

Key concepts: Topological space, Closed set, Mathematics, Topological vector space, Space (punctuation), Closure (psychology), Topology (electrical circuits), Pure mathematics

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