Fibrewise Multi-Perfect Topological Spaces

Y. Y. Yousif; M.H. Jaber; M. El Sayed

doi:10.30526/36.4.2911

Authors

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

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.

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-T_e, locally In addition, we find and prove several propositions linked to these notions.

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