On idealized versions of Pr1)

Archive for Mathematical Logic 53 (7-8):809-824 (2014)
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Abstract

We obtain an improvement of some coloring theorems from Eisworth :1216–1243, 2010), Eisworth and Shelah :1287–1309, 2009) for the case where the singular cardinal in question has countable cofinality. As a corollary, we obtain an “idealized” version of the combinatorial principle Pr1) that maximizes the indecomposability of the associated ideal.

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10.1007/s00153-014-0389-4

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References found in this work

Club-guessing, stationary reflection, and coloring theorems.Todd Eisworth - 2010 - Annals of Pure and Applied Logic 161 (10):1216-1243.
Getting more colors II.Todd Eisworth - 2013 - Journal of Symbolic Logic 78 (1):17-38.
Getting more colors I.Todd Eisworth - 2013 - Journal of Symbolic Logic 78 (1):1-16.
Successors of Singular Cardinals and Coloring Theorems II.Todd Eisworth & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (4):1287 - 1309.
Simultaneous reflection and impossible ideals.Todd Eisworth - 2012 - Journal of Symbolic Logic 77 (4):1325-1338.

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