Document Type : Research Paper
Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), Baghdad University, Baghdad, Iraq
Department of Mathematics, College of Education for Pure Science, Ibn AL-Haitham, University of Baghdad, Baghdad-Iraq.
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.