Abstract of a paper by M.I. Ostrovskii
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 or http://arXiv.org/abs/0903.0607 or by email in unzipped form by transmitting an empty message with subject line uget 0903.0607 or in gzipped form by using subject line get 0903.0607 to: math@arXiv.org.
participants (1)
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alspach@fourier.math.okstate.edu