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arxiv: 0704.1884 · v1 · submitted 2007-04-14 · 🧮 math.LO

Coloring ordinals by reals

classification 🧮 math.LO
keywords kappacoloringlambdaordinalsprinciplerealsalephcall
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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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