Some results related to new type of continuity, compactness, and connectedness in topological spaces

Abstract

Topology is the study of specific objects' qualitative characteristics. Additionally, the study of some helpful characteristics of spaces and maps, like continuity, connectedness, and compactness, is aided by generic topology. New forms of continuity, compactness and connectedness have been referred to as $F$-continuous and $F$-compact, and $F$-connectedness respectively. This paper aims to provide some of the recent new findings concerning these new concepts which we define in topological spaces.