Pairwise Sums in the Reals

50 mins 46 secs,  739.54 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.94 Mbits/sec
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Description: Leader, I (University of Cambridge)
Thursday 17th December 2015 - 16:00 to 17:00
 
Created: 2015-12-23 14:51
Collection: Mathematical, Foundational and Computational Aspects of the Higher Infinite
Publisher: Isaac Newton Institute
Copyright: Leader, I
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: Co-authors: Neil Hindman (Howard University), Dona Strauss (University of Leeds)

We show (assuming CH) that there is a finite colouring of the reals such that no infinite set X has X+X (meaning the pairwise sums from X, allowing repetition) monochromatic. And we give positive results for ‘nice’ colourings.
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