Coarse geometry and asymptotic dimension

Bernd Grave

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arXiv · math/0601744

Coarse geometry and asymptotic dimension

Bernd Grave

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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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BibTeX RIS

Bernd Grave. 2006-01-30. Coarse geometry and asymptotic dimension. https://arxiv.org/abs/math/0601744

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