Amenable colorings

被引：3

作者：

Garti S. ^{[1
]}

机构：

[1] Institute of Mathematics, The Hebrew University of Jerusalem, Edmond J. Safra Campus, Jerusalem

来源：

European Journal of Mathematics | 2017年 / 3卷 / 1期

关键词：

Amenable colorings; Huge cardinals; Martin’s axiom; Partition relations;

D O I：

10.1007/s40879-016-0125-1

中图分类号：

学科分类号：

摘要：

Let κ be any regular cardinal. Assuming the existence of a huge cardinal above κ, we prove the consistency of [InlineEquation not available: see fulltext.] for every ordinal τ< κ+ +. Likewise, we prove that [InlineEquation not available: see fulltext.] is consistent when A is strongly closed under countable intersections. © 2017, Springer International Publishing AG.

引用

页码：77 / 86

页数：9

共 12 条

[1]

Ben-Neria O., Gitik M., On the splitting number at regular cardinals, J. Symbolic Logic, 80, 4, pp. 1348-1360, (2015)

[2]

Garti S., Weak diamond and Galvin’s property. Period. Math, Hungar, (2017)

[3]

Garti S., Shelah S., Combinatorial aspects of the splitting number, Ann. Comb., 16, 4, pp. 709-717, (2012)

[4]

Garti S., Shelah S., A strong polarized relation, J. Symbolic Logic, 77, 3, pp. 766-776, (2012)

[5]

Garti S., Shelah S., Partition calculus and cardinal invariants, J. Math. Soc. Japan, 66, 2, pp. 425-434, (2014)

[6]

Garti S., Shelah S., Open and solved problems concerning polarized partition relations, Fund. Math., 234, 1, pp. 1-14, (2016)

[7]

Goldman W., The Princess Bride, (2007)

[8]

Hajnal A., Larson J.A., Partition relations, Handbook of Set Theory, vols. 1–3, pp. 129-213, (2010)

[9]

Jones A.L., A polarized partition relation for weakly compact cardinals using elementary substructures, J. Symbolic Logic, 71, 4, pp. 1342-1352, (2006)

[10]

Laver R., An (ℵ2, ℵ2, ℵ0) -saturated ideal on ω1 , Logic Colloquium ’80, pp. 173-180, (1982)

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