Fibrewise slightly separation axioms

Abstract

The aim of this paper is to look at fibrewise slightly issuances of the more important separation axioms of ordinary topology namely fibrewise said to be fibrewise slightly T 0 spaces, fibrewise slightly T 1 spaces, fibrewise slightly R 0 spaces, fibrewise slightly T 2 spaces, fibrewise slightly functionally T 2 spaces, fibrewise slightly regular spaces, fibrewise slightly completely regular spaces, fibrewise slightly normal spaces. In addition, we announce and confirm many proposals related to these concepts.