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math.GT2020
A coarse embedding theorem for homological filling functions
Robert Kropholler, Mark Pengitore
We demonstrate under appropriate finiteness conditions that a coarse embedding induces an inequality of homological Dehn functions. Applications of the main results include a chara…
math.GT2019
Coarse models of homogeneous spaces and translations-like actions
D. B. McReynolds, Mark Pengitore
For finitely generated groups and equipped with word metrics, a translation-like action of on is a free action where each element of moves elements of a bou…