Coloring ordinals by reals

2007/04/14 by Jörg Brendle, Brendle, Jörg, Sakaé Fuchino +1
Mathematics · #03E05 #03E17 #03E35 #03E65 #FOS: Mathematics #Logic (math.LO) #math.LO #msc:03E05 #msc:03E17 #msc:03E35 #msc:03E65

paper · pdf · doi:10.48550/arxiv.0704.1884

arxiv created 2007/04/14 · arxiv updated 2009/12/01

Abstract

We study combinatorial principles we call Homogeneity Principle HP(κ) and Injectivity Principle IP(κ,λ) for regular κ>ℵ₁ and λ≤κwhich are formulated in terms of coloring the ordinals <κby reals.

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