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Fibrewise Multi-Perfect Topological Spaces
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The essential objective of this paper is to introduce new notions of fibrewise topological spaces on D that are named to be upper perfect topological spaces, lower perfect topological spaces, multi-perfect topological spaces, fibrewise upper perfect topological spaces, and 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, 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 In addition, we find and prove several propositions linked to these notions.
College of Education for Pure Science (Ibn Al-Haitham)
Title: Fibrewise Multi-Perfect Topological Spaces
Description:
The essential objective of this paper is to introduce new notions of fibrewise topological spaces on D that are named to be upper perfect topological spaces, lower perfect topological spaces, multi-perfect topological spaces, fibrewise upper perfect topological spaces, and 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, 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 In addition, we find and prove several propositions linked to these notions.
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