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

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http://arXiv.org/abs/1001.3326

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