Groups acting properly on "bolic" spaces and the Novikov conjecture

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We introduce a class of metric spaces which we call "bolic". They include hyperbolic spaces, simply conneccted complete manifolds of nonpositive curvature, euclidean buildings, etc. We prove the Novikov conjecture on higher signatures for any discrete group which admits a proper isometric action on a "bolic", weakly geodesic metric space of bounded geometry.
42 pages, published version

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/70250

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0402374
 http://arxiv.org/abs/math/0402374
 Ann. of Math. (2), Vol. 158 (2003), no. 1, 165--206

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arXiv