Svarc-Milnor Lemma: a proof by definition

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The famous Švarc-Milnor Lemma says that a group $G$ acting properly and cocompactly via isometries on a length space $X$ is finitely generated and induces a quasi-isometry equivalence $g\to g\cdot x_0$ for any $x_0\in X$. We redefine the concept of coarseness so that the proof of the Lemma is automatic.

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Geometric Topology, Metric Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/155723

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603487
 http://arxiv.org/abs/math/0603487
 Topology Proceedings 31 (2007)

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arXiv