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Successors of singular cardinals and coloring theorems. II. (English) Zbl 1181.03047

Summary: We investigate the extent to which techniques used in Part I of the present paper [the authors, Arch. Math. Logic 44, No. 5, 597–618 (2005; Zbl 1085.03035)], in [T. Eisworth, Fundam. Math. 202, No. 2, 97–123 (2009; Zbl 1168.03034)], and in [S. Shelah, Cardinal arithmetic. Oxford Logic Guides. 29. Oxford: Clarendon Press (1994; Zbl 0848.03025), Chapter III] – developed to prove coloring theorems at successors of singular cardinals of uncountable cofinality – can be extended to cover the countable cofinality case.

MSC:

03E02 Partition relations
03E05 Other combinatorial set theory
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References:

[1] Handbook of set theory II
[2] DOI: 10.4064/fm202-2-1 · Zbl 1168.03034
[3] DOI: 10.1007/s00153-004-0258-7 · Zbl 1085.03035
[4] DOI: 10.1016/0168-0072(91)90047-P · Zbl 0746.03040
[5] Handbook of set theory I
[6] Annals of Pure and Applied Logic
[7] DOI: 10.1007/BF02392561 · Zbl 0658.03028
[8] Cardinal arithmetic 29 (1994) · Zbl 0848.03025
[9] Cardinal arithmetic 29 (1994) · Zbl 0848.03025
[10] Logic Colloquium ’78 (Mons, 1978) 97 pp 357– (1979)
[11] DOI: 10.1007/BF01886396 · Zbl 0158.26603
[12] Walks on ordinals and their characteristics 263 (2007)
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