The Shadow of Vietoris--Rips Complexes in Limits

Kazuhiro Kawamura, Sushovan Majhi, Atish Mitra

The Vietoris-Rips complex, denoted $R_{\beta }(X)$, of a metric space $(X,d)$ at scale $\beta$ is an abstract simplicial complex where each $k$-simplex corresponds to $(k+1)$ points of $X$ wi…