On idealized versions of $\pr_1(μ^+,μ^+,μ^+,\cf(μ))$

preprint2012arXivOpen access

We obtain an improvement of some coloring theorems from \cite{nsbpr}, \cite{819}, and \cite{APAL} for the case where the singular cardinal in question has countable cofinality. As a corollary, we obtain an "idealized" version of the combinatorial principle $\pr_1(μ^+,μ^+,μ^+,\cf(μ))$ that maximizes the indecomposability of the associated ideal.

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On idealized versions of $\pr_1(μ^+,μ^+,μ^+,\cf(μ))$

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