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Monochromatic Infinite Sumsets

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  • UserPaul Russell (University of Cambridge)
  • ClockThursday 02 February 2017, 14:30-15:30
  • HouseMR12.

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It is well known that there is a finite colouring of the natural numbers such that there is no infinite set X with X+X (the pairwise sums from X, allowing repetition) monochromatic. It is easy to extend this to the rationals. Hindman, Leader and Strauss showed that there is also such a colouring of the reals, and asked if there exists a space `large enough’ that for every finite colouring there does exist an infinite X with X+X monochromatic. We show that there is indeed such a space.

(Joint work with Imre Leader)

This talk is part of the Combinatorics Seminar series.

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