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SUMMARY:Monochromatic Infinite Sumsets - Paul Russell (University of Cambr
 idge)
DTSTART:20170202T143000Z
DTEND:20170202T153000Z
UID:TALK70307@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:It is well known that there is a finite colouring of the natur
 al numbers such that there is no infinite set X with X+X (the pairwise sum
 s from X\, allowing repetition) monochromatic. It is easy to extend this t
 o the rationals.\nHindman\, Leader and Strauss showed that there is also s
 uch a colouring of the reals\, and asked if there exists a space `large en
 ough' that for every finite colouring there does exist an infinite X with 
 X+X monochromatic. We show that there is indeed such a space.\n\n(Joint wo
 rk with Imre Leader)\n
LOCATION:MR12
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