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Coarse Bundles

2010/06/17 by Kevin Whyte, Whyte, Kevin
Mathematics · Medicine · #Advanced Operator Algebra Research #Homotopy and Cohomology in Algebraic Topology #Intracranial Aneurysms: Treatment and Complications #math.GR #math.GT

paper · pdf · doi:10.48550/arxiv.1006.3347

arxiv created 2010/06/17 · arxiv updated 2010/06/18

Abstract

We develop a coarse notion of bundle and use it to understand the coarse geometry of group extensions and, more generally, groups acting on proper metric spaces. The results are particularly sharp for groups acting on (locally finite) trees with Abelian stabilizers, which we are able to classify completely.

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