2 papers
math.LO2017
Infinite monochromatic sumsets for colourings of the reals
Péter Komjáth, Imre Leader, Paul A. Russell +3
N. Hindman, I. Leader and D. Strauss proved that it is consistent that there is a finite colouring of so that no infinite sumset is monochromatic…
math.CO2015
The colouring number of infinite graphs
Nathan Bowler, Johannes Carmesin, Péter Komjáth +1
We show that, given an infinite cardinal , a graph has colouring number at most if and only if it contains neither of two types of subgraph. We also show that every graph wi…