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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Ultrametrics and geometric measures
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by H. Movahedi-Lankarani and R. Wells PDF
Proc. Amer. Math. Soc. 123 (1995), 2579-2584 Request permission

Abstract:

Let Z be a locally connected, locally compact, and separable metric space equipped with a geometric measure v. It is shown that if a subset Y of Z is bi-Lipschitz isomorphic to an ultrametric space, then $\nu (Y) = 0$.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2579-2584
  • MSC: Primary 54E40; Secondary 28A75, 54E35
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1307552-6
  • MathSciNet review: 1307552