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• #### On Vietoris-Rips Complexes of Ellipses ﻿

[OWP-2017-11] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-25)
For $X$ a metric space and $r > 0$ a scale parameter, the Vietoris–Rips complex $VR_<(X; r)$ (resp. $VR_≤(X; r)$) has $X$ as its vertex set, and a finite subset $\sigma \subseteq X$ as a simplex whenever the diameter of ...