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 $\mathrm{VR}(X;r)$ has $X$ as its vertex set, and a finite subset $\ddot{I}ƒ\subseteq X$ as a simplex whenever the…