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Pairwise Sums in the Reals

Thursday 17th December 2015 - 16:00 to 17:00
INI Seminar Room 1
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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons