172 citations · 564 across the 31 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.MG2019
Metric thickenings and group actions
Henry Adams, Mark Heim, Chris Peterson
Let be a group acting properly and by isometries on a metric space ; it follows that the quotient or orbit space is also a metric space. We study the Vietoris-Rips and…
math.GT2019★ 12 cited
Metric Thickenings, Borsuk-Ulam Theorems, and Orbitopes
Henry Adams, Johnathan Bush, Florian Frick
Thickenings of a metric space capture local geometric properties of the space. Here we exhibit applications of lower bounding the topology of thickenings of the circle and more gen…
math.ST2019★ 11 cited
Multidimensional Scaling on Metric Measure Spaces
Henry Adams, Mark Blumstein, Lara Kassab
Multidimensional scaling (MDS) is a popular technique for mapping a finite metric space into a low-dimensional Euclidean space in a way that best preserves pairwise distances. We o…