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SUMMARY:Colouring the real numbers and sum-sets with repetitions - Daniel 
 Soukup (Universioty of Vienna)
DTSTART:20181122T160000Z
DTEND:20181122T170000Z
UID:TALK115171@talks.cam.ac.uk
CONTACT:Andrew Thomason
DESCRIPTION:This talk will focus on relatives of Hindman's finite sums\nth
 eorem. In particular\, we consider finite partitions of the set of real nu
 mbers and look for the existence of large (i.e.\, infinite or even uncount
 able) sets X so that X+X is fully contained in one class of the partition.
  In the case when repetitions are allowed\, we discuss how the\nexistence 
 of even a countably infinite monochromatic sum-set heavily depends on the 
 set-theoretic universe. However\, the talk should be accessible to all wit
 h a minimal background in set theory.\n
LOCATION:MR12
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