Abstract of a paper by Ellen Veomett and Kevin Wildrick
This is an announcement for the paper "Spaces of small metric cotype" by Ellen Veomett and Kevin Wildrick. Abstract: Naor and Mendel's metric cotype extends the notion of the Rademacher cotype of a Banach space to all metric spaces. Every Banach space has metric cotype at least 2. We show that any metric space that is bi-Lipschitz equivalent to an ultrametric space has infinimal metric cotype 1. We discuss the invariance of metric cotype inequalities under snowflaking mappings and Gromov-Hausdorff limits, and use these facts to establish a partial converse of the main result. Archive classification: math.MG math.FA Mathematics Subject Classification: 30L05; 46B85 Remarks: 21 pages The source file(s), MetricCotype8.bbl: 3780 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.3326 or http://arXiv.org/abs/1001.3326 or by email in unzipped form by transmitting an empty message with subject line uget 1001.3326 or in gzipped form by using subject line get 1001.3326 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu