Getting more colors II

Journal of Symbolic Logic 78 (1):17-38 (2013)
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Abstract

We formulate and prove (in ZFC) a strong coloring theorem which holds at successors of singular cardinals, and use it to answer several questions concerning Shelah's principle $Pr_1(\mu^+,\mu^+,\mu^+,cf(\mu))$ for singular $\mu$

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10.2178/jsl.7801020

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Citations of this work

Chain conditions of products, and weakly compact cardinals.Assaf Rinot - 2014 - Bulletin of Symbolic Logic 20 (3):293-314,.
On idealized versions of Pr1).Todd Eisworth - 2014 - Archive for Mathematical Logic 53 (7-8):809-824.
Complicated colorings, revisited.Assaf Rinot & Jing Zhang - 2023 - Annals of Pure and Applied Logic 174 (4):103243.

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References found in this work

Notes on Singular Cardinal Combinatorics.James Cummings - 2005 - Notre Dame Journal of Formal Logic 46 (3):251-282.
Club-guessing, stationary reflection, and coloring theorems.Todd Eisworth - 2010 - Annals of Pure and Applied Logic 161 (10):1216-1243.
Colouring and non-productivity of ℵ2-cc.Saharon Shelah - 1997 - Annals of Pure and Applied Logic 84 (2):153-174.
Colouring and non-productivity of ℵ2-C.C.Saharon Shelah - 1997 - Annals of Pure and Applied Logic 84 (2):153-174.
Successors of singular cardinals and coloring theorems I.Todd Eisworth & Saharon Shelah - 2005 - Archive for Mathematical Logic 44 (5):597-618.

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