Ankur Sarkar

collaborators

5 papers

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 $X$ an…

math.GN2026

Prime Density and Classification of Macías Spaces over Principal Ideal Domains

Souvik Mandal, Ankur Sarkar

Recently, the Macías topology has been generalized over integral domains that are not fields, to furnish a topological proof of the infinitude of prime elements under the assumptio…

math.AT2026

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…

math.AT2025

Enumerating Smooth Structures on $C P^{3} \times S^{k}$

Samik Basu, Ramesh Kasilingam, Ankur Sarkar

In this paper, we compute the concordance inertia group of the product $M \times S^{k}$ , where $M$ is a simply connected, closed, smooth 6-manifold, for $1 \leq k \leq 10$ ,…

math.GT2025

Smooth Structures on the product of 3-connected 8-manifolds with spheres