Rough Isometries of Lipschitz Function Spaces

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dc.creatorLochmann, Andreas
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:34:20Z
dc.date.available2026-07-07T08:34:20Z
dc.descriptionWe 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.
dc.description21 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0710.1109
dc.identifierhttp://arxiv.org/abs/0710.1109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139399
dc.subjectMetric Geometry
dc.subject26A16 (Primary); 41A30, 06B30 (Secondary)
dc.titleRough Isometries of Lipschitz Function Spaces
dc.typetext

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