SPACES OF SMALL METRIC COTYPE
2010 ◽
Vol 02
(04)
◽
pp. 581-597
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Keyword(s):
Mendel and Naor's definition of 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 is equivalent to an ultrametric space having infimal 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.
2017 ◽
Vol 20
(K2)
◽
pp. 107-116
Keyword(s):
Keyword(s):
2013 ◽
Vol 56
(3)
◽
pp. 519-535
◽
2021 ◽
Vol 151
(6)
◽
pp. 1683-1699