Coloring ordinals by reals

Mathematics – Logic

Scientific paper

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Scientific paper

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

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