9 papers
On the Sequential topological complexity of directed (parametrized) motion planning algorithms
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
We introduce sequential analogues of directed (parametrized) topological complexity, in the context of motion planning problems requiring a system to traverse a prescribed sequence…
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…
Relative Smooth Surgery Structure Sets of Thickenings of the Cayley Projective Plane and Applications
Souvik Mandal, Ankur Sarkar
We compute the relative smooth surgery structure sets of the thickenings of the Cayley projective plane for every …
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…
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…
On sequential versions of various parametrized invariants
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
In this paper, we introduce and study sequential versions of several fibrewise homotopy invariants, including parametrized topological complexity, parametrized (subspace) homotopic…