Abstract

In this paper we introduce and discuss some basic properties and preservation theorems of slightly s#gα-continuous functions

Highlights

  • In this paper we introduce and discuss some basic properties and preservation theorems of slightly s#gα-continuous functions

  • In this paper we introduce the notion of slightly s#gα-continuous functions and discuss their basic properties

  • Definition A function f : X ⟶ Y is said to be slightly s#gα-continuous if f−1(V) is s#gα-open in X for every clopen set V in Y

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Summary

Introduction

In this paper we introduce the notion of slightly s#gα-continuous functions and discuss their basic properties. Definition A function f : X ⟶ Y is said to be slightly s#gα-continuous if f−1(V) is s#gα-open in X for every clopen set V in Y. The complement of a #gα-closed set is said to be #gα-open. (iv) s#gα-closed (Vivek Prabu and Kokilavani, 2013) if scl(A) ⊆ U, whenever A ⊆ U and U is #gα-open.

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