Sucharita Mallick

collaborators

2 papers

math.AT2025

Anti-Vietoris--Rips metric thickenings and Borsuk graphs

Henry Adams, Alex Elchesen, Sucharita Mallick +1

For $X$ a metric space and $r \geq 0$ , the anti-Vietoris-Rips metric thickening $AV R^{m} (X; r)$ is the space of all finitely supported probability measures on $X$ whose support…

math.AT2025

Homotopy connectivity of Čech complexes of spheres

Henry Adams, Ekansh Jauhari, Sucharita Mallick

Let $S^{n}$ be the $n$ -sphere with the geodesic metric and of diameter $π$ . The intrinsic Čech complex of $S^{n}$ at scale $r$ is the nerve of all open balls of radius $r$ in $S^{n}$ . In…