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Metric Structures on Families of Metric Spaces

Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

The Lipschitz distance between two metric spaces X, Y, denoted dL(X, Y), is the infimum of the numbers
$$ |\log dil(f)| + |\log dil(f^{{\text{ - 1}}} )| $$
as f varies over the set of bi-Lipschitz homeomorphisms between X and Y.

Keywords

Modulus Space Riemannian Manifold Fundamental Group Hausdorff Distance Isometry Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Birkhäuser Boston 2007

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