Functions in GTSs and GMSs

Abstract

In this article, we study the nature of different types of functions, namely, cliquish, lower semi-continuous, and upper semi-continuous functions in generalized Gδ-submaximal, generalized submaximal, and hyperconnected spaces. It also includes a cursory discussion about the properties for generalized Gδ-submaximal, generalized submaximal, and hyperconnected spaces in generalized metric spaces.