This is an announcement for the paper "A metric space not quasi-isometrically embeddable into any uniformly convex Banach space" by Piotr W. Nowak.

Abstract: We construct a locally finite graph and a bounded geometry metric space which do not admit a quasi-isometric embedding into any uniformly convex Banach space. Connections with the geometry of $c_0$ and superreflexivity are discussed.

Archive classification: Metric Geometry; Functional Analysis

Remarks: 6 pages, 2 figures

The source file(s), Quasi-isometricnon-embeddabilityintouniformlyconvexBanachspaces.tex: 18532 byt, figuramain.eps: 7608 bytes, figure1.eps: 3766 bytes, is(are) stored in gzipped form as 0506178.tar.gz with size 9kb. The corresponding postcript file has gzipped size 44kb.

Submitted from: pnowak@math.vanderbilt.edu

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

http://front.math.ucdavis.edu/math.MG/0506178

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http://arXiv.org/abs/math.MG/0506178

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