A coloring theorem for succesors of singular cardinal

Details A coloring theorem for succesors of singular cardinal A coloring theorem for succesors of singular cardinal

2009-12-31

arxiv.org/abs/1001.0194v1

Mathematics

Logic

Initial version

Scientific paper

We formulate and prove (in {\sf ZFC}) a strong coloring theorem which holds
at successors of singular cardinals, and use it to answer several questions
concerning Shelah's principle $Pr_1(\mu^+,\mu^+,\mu^+,\cf(\mu))$ for singular
$\mu$.

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