Lectures on coarse geometry

@inproceedings{Roe2003LecturesOC,
  title={Lectures on coarse geometry},
  author={John Roe},
  year={2003}
}
  • J. Roe
  • Published 2003
  • Mathematics
Metric spaces Coarse spaces Growth and amenability Translation algebras Coarse algebraic topology Coarse negative curvature Limits of metric spaces Rigidity Asymptotic dimension Groupoids and coarse geometry Coarse embeddability Bibliography. 
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617 Citations
Highly Influential Citations
119
Background Citations
302
Methods Citations
71
Results Citations
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617 Citations

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Asymptotic dimension of coarse spaces
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Remarks on coarse embeddings of metric spaces into uniformly convex Banach spaces
Capacity dimension and embedding of hyperbolic spaces into a product of trees
We prove that every visual Gromov hyperbolic space X whose boundary at infinity has the finite capacity dimension n admits a quasi-isometric embedding into (n+1)-fold product of metric trees.
Coarsely embeddable metric spaces without Property A
Algebraic characterization of quasi-isometric spaces via the Higson compactification
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