English

Coarse geometry and asymptotic dimension

Metric Geometry 2007-05-23 v1

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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Cite

@article{arxiv.math/0601744,
  title  = {Coarse geometry and asymptotic dimension},
  author = {Bernd Grave},
  journal= {arXiv preprint arXiv:math/0601744},
  year   = {2007}
}

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Dissertation