Abstract

The aim of this paper is to introduce the notion of generalized c*-continuous functions and generalized c*-irresolute functions in topological spaces and study their basic properties.

Highlights

  • In 1963, Norman Levine introduced semi-open sets in topological spaces

  • The aim of this paper is to introduce the notion of generalized c*-continuous functions and generalized c*-irresolute functions in topological spaces and study their basic properties

  • Benchalli and Umadevi I Neeli introduced the concept of semi-totally continuous functions in topological spaces

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Summary

Introduction

In 1963, Norman Levine introduced semi-open sets in topological spaces. In 2011, S.S. Benchalli and Umadevi I Neeli introduced the concept of semi-totally continuous functions in topological spaces. In this paper we introduce generalized c*-continuous functions and generalized c*-irresolute functions in topological spaces and study their basic properties. A clopen set if A is both open and closed in X. ii.

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