On Pairwise C-closed Topological Spaces

Abstract

Ismail first proposed the concept of C-closed topological spaces in 1980, assuming that spaces which are countably compact are closed. In 2019, Omar and Hdeib introduced the notion of pairwise C-closed bitopological spaces. In this article, several results concerning these notions are proposed and discussed. Many findings are summarized in relating pairwise strongly Lindelöf bitopological space and pairwise strongly C-lindelöf.