Rough Isometries of Lipschitz Function Spaces

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We show that rough isometries between metric spaces X, Y can be lifted to the spaces of real valued 1-Lipschitz functions over X and Y with supremum metric and apply this to their scaling limits. For the inverse, we show how rough isometries between X and Y can be reconstructed from structurally enriched rough isometries between their Lipschitz function spaces.
21 pages, 3 figures

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Metric Geometry, 26A16 (Primary); 41A30, 06B30 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/139399

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0710.1109
 http://arxiv.org/abs/0710.1109

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arXiv