On Vietoris-Rips complexes of ellipses

Michal Adamaszek, Henry Adams, Samadwara Reddy

For $X$ a metric space and $r>0$ a scale parameter, the Vietoris-Rips complex $V{R}_{<}(X;r)$ (resp. $V{R}_{\le }(X;r)$) has $X$ as its vertex set, and a finite subset $\sigma \subseteq X$ as a…