A new approach to nearly compact spaces

  • Kallol Bhandhu Bagchi Department of Mathematics, Kalipada Ghosh Tarai Mahavidyalaya, Darjeeling, West Bengal - 734 014
  • Ajoy Mukharjee Department of Mathematics, St. Joseph's College, Darjeeling, West Bengal - 734 104
  • Madhusudhan Paul Department of Mathematics, University of North Bengal, Darjeeling, West Bengal - 734 013
Keywords: compact, pre-open set, pre-open cover, po-compact

Abstract

Using the covers formed by pre-open sets, we introduce and study the notion of po-compactness in topological spaces. The notion of po-compactness is weaker than that of compactness but stronger than semi-compactness. It is observed that po-compact spaces are the same as nearly compact spaces. However, we find new characterizations to near compactness, when we study it in the sense of po-compactness.

Published
2018-06-10
Section
Articles