Fibrewise I-proximity Space

Abstract

The main idea of this research is to consider Fibrewise I-proximity Space as well as, introduce fibrewise ρ-map and a I-proximal neighbourhood , Likewise those p-continuous maps continuous with respect to the induced topologies, Accordingly each Fibrewise I-proximity Space is a fibrewise topological space, Additionally more important separation axioms in there spaces, are characterized and a few outcomes are demonstrated.

Subject Classification:

• 54E05
• 54E15
• 54E17

Keywords:

• fibrewise I-proximity space (FIPS)
• Fibrewise T₀-I-proximity space (FT₀-PS)
• fibrewise R₀-I-proximity (FR₀-IP)
• fibrewise ρ-regular (F_ρ -R)