Henry Adams

collaborators

2 papers

math.GT2025

Vietoris thickenings and complexes of manifolds are homotopy equivalent

Henry Adams, Alexandre Karassev, Ziga Virk

We show that if $X$ is a finite-dimensional Polish metric space, then the natural bijection $VR (X; r) \to V R^{m} (X; r)$ from the (open) Vietoris-Rips complex to the Vi…

math.MG2025

Vietoris--Rips complexes of ellipses at larger scales

Henry Adams, Julian Carvajal, Jake Rhodes +3

For $X$ a metric space and $r > 0$ , the Vietoris--Rips simplicial complex $VR (X; r)$ has $X$ as its vertex set, and a finite subset $I ¨ \subseteq X$ as a simplex whenever the…