Showing math.GNShow all
3 papers · 1 filter
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 and Classification of MacÃas Spaces over Principal Ideal Domains
Souvik Mandal, Ankur Sarkar
Recently, the MacÃas topology has been generalized over integral domains that are not fields, to furnish a topological proof of the infinitude of prime elements under the assumpti…