Fibrewise Near Compact and Locally Near Compact Spaces

Abstract

In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise near compact and fibrewise locally near compact spaces, which are generalizations of well-known concepts near compact and locally near compact topological spaces. Moreover, we study relationships between fibrewise near compact (resp., fibrewise locally near compact) spaces and some fibrewise near separation axioms.

Keywords: Fibrewise topological spaces, Fibrewise near compact spaces, Fibrewise locally near compact spaces, Fibrewise near separation axioms.

Math. Subject Classification 2010: Primary 55R70, 55P05, Secondary 54C05, 54C08, 54C10.