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math.GT2019★ 2 cited
Equivariant Morse theory on Vietoris-Rips complexes & universal spaces for proper actions
Marco Varisco, Matthew C. B. Zaremsky
We formalize an equivariant version of Bestvina-Brady discrete Morse theory, and apply it to Vietoris-Rips complexes in order to exhibit finite universal spaces for proper actions…
math.GT2018★ 1 cited
Bestvina-Brady discrete Morse theory and Vietoris-Rips complexes
Matthew C. B. Zaremsky
We inspect Vietoris-Rips complexes of certain metric spaces using a new generalization of Bestvina-Brady discrete Morse theory. Our main result is a pair of metric cr…