Generalized topology and the family of monotonic maps Ŵ(X) | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 31, Issue 1, 2023, Page 1-27 PDF (5.89 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1186/s42787-023-00162-5 | ||||
 View on SCiNiTO | ||||
| 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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