Fibrewise Multi-Perfect Topological Spaces

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Published: Oct 20, 2023
DOI: https://doi.org/10.30526/36.4.2911
Keywords:
Keywords: Fibrewise topological spaces, filter base, fibrewise upper perfect topological spaces, fibrewise lower perfect topological spaces and fibrewise multi-perfect topological spaces.

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Y. Y. Yousif
Department of Mathematics, College of Education for Pure Science Ibn Al-haitham, Baghdad University, Baghdad-Iraq
M.H. Jaber
University of Baghdad, College of Education for Pure Science Ibn Al-Haithem, Baghdad, Iraq.
M. El Sayed
Department of Mathematics, College of Science and Arts, Najran University, Kingdom of Saudi Arabia

Abstract

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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How to Cite
[1]
Y. Y. Yousif et al. 2023. Fibrewise Multi-Perfect Topological Spaces. Ibn AL-Haitham Journal For Pure and Applied Sciences. 36, 4 (Oct. 2023), 396–406. DOI:https://doi.org/10.30526/36.4.2911.
Issue
Vol. 36 No. 4 (2023)
Section
Mathematics
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