A coloring theorem for succesors of singular cardinal
classification
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keywords
singularcoloringtheoremanswercardinalcardinalsconcerningformulate
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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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