Homology groups of the curvature sets of ${\mathbb{S}}^1$

Peter Eastwood, Anna M. Ellison, Mario Gómez +1

For $n\ge 2$, the $n$-th curvature set of a metric space $X$ is the set consisting of all $n$-by-$n$ distance matrices of $n$ points sampled from $X$. Curvature sets can be regar…