Fibrewise totally compact and locally totally compact spaces
Fiberwise totally topological spaces
Fiberwise totally compact spaces
fiberwise
locally totally compact spaces
fibrewise totally separation axioms.
In this paper we define and study new concepts of fibrwise totally topological spaces over B namely fibrewise totally compact and fibrwise locally totally compact spaces, which are generalization of well known concepts totally compact and locally totally compact topological spaces. Moreover, we study relationships between fibrewise totally compact (resp, fibrwise locally totally compact) spaces and some fibrewise totally separation axioms.
