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Successors of singular cardinals and coloring theorems I
Archive for Mathematical Logic 44 (5):597-618 (2005)
Abstract
Abstract.We investigate the existence of strong colorings on successors of singular cardinals. This work continues Section 2 of [1], but now our emphasis is on finding colorings of pairs of ordinals, rather than colorings of finite sets of ordinals.Links
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Citations of this work
Club-guessing, stationary reflection, and coloring theorems.Todd Eisworth - 2010 - Annals of Pure and Applied Logic 161 (10):1216-1243.
Strong colorings over partitions.William Chen-Mertens, Menachem Kojman & Juris Steprāns - 2021 - Bulletin of Symbolic Logic 27 (1):67-90.
Successors of Singular Cardinals and Coloring Theorems II.Todd Eisworth & Saharon Shelah - 2009 - Journal of Symbolic Logic 74 (4):1287 - 1309.
Complicated colorings, revisited.Assaf Rinot & Jing Zhang - 2023 - Annals of Pure and Applied Logic 174 (4):103243.
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