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arxiv: 0905.3754 · v1 · submitted 2009-05-22 · 🧮 math.LO

Club-guessing, stationary reflection, and coloring theorems

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keywords club-guessingcoloringreflectionstationarytheoremsalongcardinalscertain
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We obtain strong coloring theorems at successors of singular cardinals from failures of certain instances of simultaneous reflection of stationary sets. Along the way, we establish new results in club-guessing and in the general theory of ideals.

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