Ramsey spaces theory is an area of Ramsey theory that concerns with coloring infinite sequences of objects. Transferring basic pigeon whole principles to their higher dimensional versions to increase their applicability ...

Denote by R(L, L, L) the minimum integer N such that any 3-coloring of the edges of the complete graph on N vertices contains a monochromatic copy of a graph L. Bondy and Erdos conjectured that when L is the cycle C(n) on ...

We consider a generalisation of the classical Ramsey theory setting to a setting where each of the edges of the underlying host graph is coloured with a set of colours (instead of just one colour). We give bounds for ...