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arXiv · 0903.0607

Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space

M. I. Ostrovskii
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Abstract

The main purpose of the paper is to find some expansion properties of locally finite metric spaces which do not embed coarsely into a Hilbert space. The obtained result is used to show that infinite locally finite graphs excluding a minor embed coarsely into a Hilbert space. In an appendix a direct proof of the latter result is given.

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M. I. Ostrovskii. 2009-03-12. Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space. https://arxiv.org/abs/0903.0607

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