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math.GN2026
A Precise Treatment of Soft Quotient Topology and Soft Covering Maps
Souvik Mandal, Ankur Sarkar
We develop a foundational theory of soft quotient topology, providing a systematic approach to quotient constructions in soft topological spaces. We establish the universal propert…
math.GN2026
Countable Fan Tightness and Selection Games in Group-Valued Function Spaces
Souvik Mandal, Ankur Sarkar
Game-theoretic characterizations of selection principles provide a powerful framework for analyzing covering properties through strategic interactions. For a Tychonoff space an…
math.GN2026
Prime Density, Kolmogorov Quotients and Homeomorphisms between Macías Spaces of Integral Domains
Souvik Mandal, Ankur Sarkar
For an integral domain that is not a field, the Macías space is the set endowed with the topology generated by the subsets $σ_k^0=\{x\in R^0:\langl…