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math.AT2024
Persistent equivariant cohomology
Henry Adams, Evgeniya Lagoda, Michael Moy +2
This article has two goals. First, we hope to give an accessible introduction to persistent equivariant cohomology. Given a topological group acting on a filtered space, persis…
math.AT2024
The connectivity of Vietoris-Rips complexes of spheres
Henry Adams, Johnathan Bush, Žiga Virk
We survey what is known and unknown about Vietoris-Rips complexes and thickenings of spheres. Afterwards, we show how to control the homotopy connectivity of Vietoris-Rips complexe…