A choice-free proof of the Erdős--Dushnik--Miller theorem

Guozhen Shen

The Erdős--Dushnik--Miller theorem states that for every aleph $\kappa$, \[ κ\to(κ,ω); \] that is, every coloring $c:[\kappa {]}^2\to 2$ has either a $0$-homogeneous set of cardinality $\kappa$ or a…