Coloring ordinals by reals
Coloring ordinals by reals
We study combinatorial principles we call the Homogeneity Principle ${\rm HP}(\kappa)$ and the Injectivity Principle ${\rm IP}(\kappa,\lambda)$ for regular $\kappa>\aleph_1$ and $\lambda\leq\kappa$ which are formulated in terms of coloring the ordin