### Infinite monochromatic sumsets for colourings of the reals

by Komjath and Leader and Russell and Shelah and Soukup and Vidnyanszky. [KLRSSV:1129]

N. Hindman, I. Leader and D. Strauss proved that it is consistent
that there is a finite coloring of {R} so that no infinite
sumset X + X is monochromatic. The (rather fascinating) question
if the same conclusion holds in ZFC was open until now: we show that
under certain set theoretic assumptions for any c: {R}-> r
with r finite there is an infinite X subseteq {R} so that
C upharpoonright X + X is constant.

Back to the list of publications