Cauchy Inequality and the Space of Measured Laminations

Details Cauchy Inequality and the Space of Measured Laminations Cauchy Inequality and the Space of Measured Laminations

2000-06-02

arxiv.org/abs/math/0006007v1

Mathematics

Geometric Topology

15 pages, 10 figures

Scientific paper

We establish a Cauchy type inequality for the geometric intersection number
between two 1-dimensional submanifolds in a surface. Some of the basic results
in Thurston's theory of measured laminations on surfaces are derived from the
Cauchy inequality.

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