Noon lecture

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On 13.2.2014 at 12:20 in S4, there is the following noon lecture:

Hyperplane transversal to coloured sets

Edgardo Roldan Pensado

Abstract

Hadwiger's transversal theorem gives conditions for a family of convex sets in the plane to have a line transversal. A higher dimensional version was obtained by Goodman, Pollack and Wenger, and recently a colourful version appeared due to Arocha, Bracho and Montejano. We show that it is possible to combine both results to obtain a coloured version of Hadwiger's theorem in higher dimensions.

list of noon lectures ( 2005 | 2006 | 2007 | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | newer lectures)

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