Coarse geometry and asymptotic dimension

2006/01/30 by Grave, Bernd
#FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.math/0601744

Abstract

We consider asymptotic dimension of coarse spaces. We analyse coarse structures induced by metrisable compactifications. We calculate asymptotic dimension of coarse cell complexes. We calculate the asymptotic dimension of certain negatively curved spaces, e.g. for complete, simply connected manifolds with bounded, strictly negative sectional curvature.

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