This is an announcement for the paper "Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space" by M.I. Ostrovskii.

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.

Archive classification: math.MG math.FA

Mathematics Subject Classification: 46B20; 05C12; 54E35

The source file(s), ExpansionArXivversion.tex: 22813 bytes, is(are) stored in gzipped form as 0903.0607.gz with size 8kb. The corresponding postcript file has gzipped size 80kb.

Submitted from: ostrovsm@stjohns.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/0903.0607

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http://arXiv.org/abs/0903.0607

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