Fibre wise Multi-Perfect Topological Spaces

Abstract

The essential objective of this paper is to existing a new notion of fibrewise topological spaces on D is named to be upper perfect topological spaces, lower perfect topological spaces, multi-perfect topological spaces, fibrewise upper perfect topological spaces, fibrewise lower perfect topological spaces, fibrewise multi-perfect topological spaces, filter base, contact point, rigid, multi-rigid, multi-rigid, fibrewise upper weakly closed, fibrewise lower weakly closed, fibrewise multi-weakly closed, E set, almost upper perfect, almost lower perfect, almost multi-perfect, fibrewise almost upper perfect, fibrewise almost lower perfect, fibrewise almost multi-perfect, upper* continuous fibrewise upper∗ topological spaces respectively, lower* continuous fibrewise lower∗ topological spaces respectively, multi*-continuous fibrewise multi∗-topological spaces respectively multi-Te, locally QHC, In bonus, we state and prove sundry propositions linked to these notions.

Keywords

• Keywords: Fibrewise topological spaces, filter base, fibrewise upper perfect topological spaces, fibrewise lower perfect topological spaces and fibrewise multi-perfect topological spaces.