Sphere paths in outer space

Details Sphere paths in outer space Sphere paths in outer space

2012-01-29

arxiv.org/abs/1201.6027v1

Mathematics

Geometric Topology

30 pages, 5 figures

Scientific paper

We prove that a collection of paths defined in the sphere model of outer
space using a surgery process are uniform quasi-geodesics, provided they remain
in some thick part of outer space. To do so, we relate the Lipschitz metric on
outer space to a notion of intersection numbers.

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