Bipartite graphs and monochromatic squares

Abstract

We prove that consistently every bipartite graph of size ${\kappa }^{+}\times {\kappa }^{+}$ contains either a clique or an independent subset of size $\tau \times \tau$ for every $\tau \in {\kappa }^{+}$, where $\kappa$ is a successor cardinal.

References in corpus (1)

• Amenable colorings