On Vietoris-Rips complexes of Finite Metric Spaces with Scale $2$

Ziqin Feng, Naga Chandra Padmini Nukala

We examine the homotopy types of Vietoris-Rips complexes on certain finite metric spaces at scale $2$. We consider the collections of subsets of $[m]=\{1,2,\dots ,m\}$ equipped…