Title of article
Club-guessing, stationary reflection, and coloring theorems
Author/Authors
Eisworth، نويسنده , , Todd، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2010
Pages
28
From page
1216
To page
1243
Abstract
We obtain very strong coloring theorems at successors of singular cardinals from failures of certain instances of simultaneous reflection of stationary sets. In particular, the simplest of our results establishes that if μ is singular and μ + → [ μ + ] μ + 2 , then there is a regular cardinal θ < μ such that any fewer than cf ( μ ) stationary subsets of S ≥ θ μ + must reflect simultaneously.
Keywords
Successor of singular cardinal , Club-guessing , Stationary reflection , Square-brackets partition relations , Minimal walks
Journal title
Annals of Pure and Applied Logic
Serial Year
2010
Journal title
Annals of Pure and Applied Logic
Record number
1444472
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