ec 2 00 7 Local finiteness of cubulations and CAT ( 0 ) groups


Let X be a geodesic space and G a group acting geometrically on X. A discrete halfspace system of X is a set H of open halfspaces closed under h 7→ X r h and such that every x ∈ X has a neighbourhood intersecting only finitely many walls of H. Given such a system H, one uses the Sageev-Roller construction to form a cubing C(H). When H is invariant under G… (More)

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