Rough Isometries of Lipschitz Function Spaces
Metric Geometry
2007-10-08 v1
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.
Cite
@article{arxiv.0710.1109,
title = {Rough Isometries of Lipschitz Function Spaces},
author = {Andreas Lochmann},
journal= {arXiv preprint arXiv:0710.1109},
year = {2007}
}
Comments
21 pages, 3 figures