Generalized topology and the family of monotonic maps Ŵ(X) | ||
| Journal of the Egyptian Mathematical Society | ||
| Volume 31, Issue 1, 2023, Pages 1-27 PDF (5.89 M) | ||
| Document Type: Original Article | ||
| DOI: 10.1186/s42787-023-00162-5 | ||
| Authors | ||
| G. A. Kamel; K. A. Dib | ||
| Mathematics Department, Faculty of Science, Fayoum University, Fayoum 63514, Egypt | ||
| Abstract | ||
| In this paper, interesting properties of the generalized topological spaces, generated by the monotonic maps σ = (clδ ◦ intδ), α = (intδ ◦ clδ ◦ intδ), π = (intδ ◦ clδ) and β = (clδ ◦ intδ ◦ clδ), for any generalized topological space (X, gδ) are deduced and analyzed. Special subfamilies of the family of monotonic maps Ŵ(X) are studied and interesting results regarding generalized topologies are obtained. | ||
| Keywords | ||
| Family of monotonic maps Ŵ(X); Cs´azs´a r generalized topological space; Interesting monotonic maps {intδ; clδ; σ; α; π; β} | ||
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