Title	Theorems of Helly and Tverberg without dimension
Creator	Bárány, Imre
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-11T11:04
Description	The Helly theorem in the title says the following. Assume $k < d+1$ and $F$ is a finite family of convex bodies, all contained in the Euclidean unit ball of $R^d$ with the property that every $k$-tuple of sets in $F$ has a point in common. Then there is a point $q$ in $R^d$ which is closer than $1/ \sqrt k$ to every set in $F$. This result has several colourful and fractional variants. Similar versions of Tverberg's theorem and some of their extensions are also established. This is joint work with Karim Adiprasito, Nabil Mustafa, and TamÃ¡s Terpai.
Extent	37.0 minutes
Subject	Mathematics; Geometry; Convex and discrete geometry; Discrete mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Alfred Renyi Institute
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-04-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389779
URI	http://hdl.handle.net/2429/73955
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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