Title	Dependence of the heavily covered point on parameters.
Creator	Karasev, Roman
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-10-24T10:00
Description	We examine Gromov's method of selecting a point ``heavily covered'' by simplices chosen from a given finite point sets, in order to understand the dependence of the heavily covered point on parameters. There is no continuous dependence in this problem, but it is possible to utilize the ``homological continuous dependence'' of the heavily covered point, if we follow Gromov's approach to the problem. This allows us to infer some corollaries in a usual way. We also give an elementary argument to prove the simplest of these corollaries in the planar case and discuss other approaches and some open problems in the area.
Extent	42 minutes
Subject	Mathematics; Convex and discrete geometry; Algebraic topology; Combinatorics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Moscow Institute of Physics and Technology
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-06-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0348106
URI	http://hdl.handle.net/2429/61842
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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