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arXiv · 0710.1109

Rough Isometries of Lipschitz Function Spaces

Andreas Lochmann
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Abstract

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.

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Andreas Lochmann. 2007-10-04. Rough Isometries of Lipschitz Function Spaces. https://arxiv.org/abs/0710.1109

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