Svarc-Milnor Lemma: a proof by definition

Details Svarc-Milnor Lemma: a proof by definition Svarc-Milnor Lemma: a proof by definition

2006-03-21

arxiv.org/abs/math/0603487v2

Topology Proceedings 31 (2007)

Mathematics

Geometric Topology

Scientific paper

The famous \v{S}varc-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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