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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
Groups with arbitrary cubical dimension gap
Robert Kropholler, Chris O'Donnell
We prove that if acts essentially, properly and cocompactly on a CAT(0) cube complex X, then the cube complex splits as a product. We use this theore…