Club-guessing, stationary reflection, and coloring theorems

Details Club-guessing, stationary reflection, and coloring theorems Club-guessing, stationary reflection, and coloring theorems

2009-05-22

arxiv.org/abs/0905.3754v1

Mathematics

Logic

Initial public version

Scientific paper

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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