Title	Quasisymmetric vs Bi-Lipschitz maps
Creator	Dymarz, Tullia
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-05
Description	On a metric space, there are various classes of functions which respect aspects of the metric space structure. One of the most basic classes is the bi-Lipschitz maps Another possibly much larger class con- sists of the so-called quasisymmetric maps. On both Euclidean space and the p-adics, there are many quasisymmetric maps which are not bi- Lipschitz. However, on the product of Euclidean space with the p-adics, we show that all quasisymmetric maps are bi-Lipschitz. Furthermore,\\r\\n3 our proof does not use any direct analysis but instead uses results on quasi-isometries and spaces of negative curvature.
Extent	42 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Wisconsin, Madison
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043474
URI	http://hdl.handle.net/2429/49420
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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