On <i>r</i>-Compactness in Topological and Bitopological Spaces

Abstract

This paper defines the so-called pairwise r-compactness in topological and bitopological spaces. In particular, several inferred properties of the r-compact spaces and their connections with other topological and bitopological spaces are studied theoretically. As a result, several novel theorems of the r-compact space are generalized on the pairwise r-compact space. The results established in this research paper are new in the field of topology.

Keywords

• pairwise compact space
• pairwise <i>r</i>-compact space
• pairwise extremely disconnected space
• bitopological space