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

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

2009-03-03

arxiv.org/abs/0903.0607v2

Comptes rendus de l'Academie bulgare des Sciences, 62 (2009), 415--420

Mathematics

Metric Geometry

Some misprints have been corrected in the second version

Scientific paper

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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