On Semi-Continuous and Clisquish Functions in Generalized Topological Spaces

Abstract:

In this paper, we will focus on three types of functions in a generalized topological space, namely; lower and upper semi-continuous functions, and cliquish functions. We give some results for nowhere dense sets and for second category sets. Further, we discuss the nature of cliquish functions in generalized metric spaces and provide the characterization theorem for cliquish functions in terms of nowhere dense sets.

Año de publicación:

2023

Keywords:

• Baire space
• cliquish function
• upper semi-continuous function
• nowhere dense
• lower semi-continuous function

Fuente:

scopus

google