Title	From dual bodies to the Kneser-Poulsen conjecture
Creator	Bezdek, Karoly
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-05-22T09:44
Description	The Kneser--Poulsen Conjecture states that if the centers of a family of N congruent balls in Euclidean d-space is contracted, then the volume of the intersection does not decrease. A uniform contraction is a contraction where all the pairwise distances in the first set of centers are larger than all the pairwise distances in the second set of centers. We prove the Kneser-Poulsen conjecture for uniform contractions whenever N is sufficiently large (depending only on d) in Euclidean, spherical as well as hyperbolic d-space for all d>1.
Extent	33 minutes
Subject	Mathematics; Convex and discrete geometry; Geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Calgary
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-11-18
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0357995
URI	http://hdl.handle.net/2429/63639
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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