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arxiv: 0804.2619 · v2 · pith:OFTFJRRAnew · submitted 2008-04-16 · 🧮 math.GR · math.DG· math.MG

Quasiflats in CAT(0) complexes

classification 🧮 math.GR math.DGmath.MG
keywords asymptoticallycocompactcompactcomplexcomplexesconicaldistanceeuclidean
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We show that if X is a piecewise Euclidean 2-complex with a cocompact isometry group, then every 2-quasiflat in X is at finite Hausdorff distance from a subset which is locally flat outside a compact set, and asymptotically conical.

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