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A Metrizable Topology on the Contracting Boundary of a Group

Published 4 Mar 2017 in math.MG and math.GR | (1703.01482v3)

Abstract: The 'contracting boundary' of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrically relevant, quasi-isometry invariant topology on the contracting boundary. When the space is the Cayley graph of a finitely generated group we show that our new topology is metrizable.

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