Fibrewise Near Compact and Locally Near Compact Spaces
Fibrewise topological spaces
Fibrewise near compact spaces
Fibrewise locally near compact spaces
Fibrewise near separation axioms.
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.