Closedness, Separation and Connectedness in Pseudo-Quasi-Semi Metric Spaces

Abstract

In this paper, we give the characterization of closed and strongly closed
subsets of an extended pseudo-quasi-semi metric space and show that they
induce closure operator. Moreover, we characterize each of Ti, i = 0; 1; 2
and connected extended pseudo-quasi-semi metric spaces and investigate the
relationship among them. Finally, we introduce the notion of irreducible
objects in a topological category and examine the relationship among each
of irreducible, Ti; i = 1; 2, and connected extended pseudo-quasi-semi metric
spaces.