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math.GR2024
Coarse obstructions to cocompact cubulation
Zachary Munro, Harry Petyt
We provide geometric methods to give bounds on the large-scale dimension of CAT(0) cube complexes quasiisometric to a given group . In situations where these bounds conflict we…
math.GR2024
Constructing metric spaces from systems of walls
Harry Petyt, Abdul Zalloum, Davide Spriano
We give a general procedure for constructing metric spaces from systems of partitions. This generalises and provides analogues of Sageev's construction of dual CAT(0) cube complexe…