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.
Kamel, G., & Dib, K. (2023). Generalized topology and the family of monotonic maps Ŵ(X). Journal of the Egyptian Mathematical Society, 31(1), 1-27. doi: 10.1186/s42787-023-00162-5
MLA
G. A. Kamel; K. A. Dib. "Generalized topology and the family of monotonic maps Ŵ(X)", Journal of the Egyptian Mathematical Society, 31, 1, 2023, 1-27. doi: 10.1186/s42787-023-00162-5
HARVARD
Kamel, G., Dib, K. (2023). 'Generalized topology and the family of monotonic maps Ŵ(X)', Journal of the Egyptian Mathematical Society, 31(1), pp. 1-27. doi: 10.1186/s42787-023-00162-5
VANCOUVER
Kamel, G., Dib, K. Generalized topology and the family of monotonic maps Ŵ(X). Journal of the Egyptian Mathematical Society, 2023; 31(1): 1-27. doi: 10.1186/s42787-023-00162-5
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