A polarized partition relation and failure of GCH at singular strong limit
Shelah, Saharon
Fundamenta Mathematicae, Tome 158 (1998), p. 153-160 / Harvested from The Polish Digital Mathematics Library

The main result is that for λ strong limit singular failing the continuum hypothesis (i.e. 2λ>λ+), a polarized partition theorem holds.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:212248
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     title = {A polarized partition relation and failure of GCH at singular strong limit},
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     year = {1998},
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Shelah, Saharon. A polarized partition relation and failure of GCH at singular strong limit. Fundamenta Mathematicae, Tome 158 (1998) pp. 153-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv155i2p153bwm/

[00000] [EHR] P. Erdős, A. Hajnal and R. Rado, Partition relations for cardinal numbers, Acta Math. Acad. Sci. Hungar. 16 (1965), 93-196. | Zbl 0158.26603

[00001] [BH] J. Baumgartner and A. Hajnal, Polarized partition relations, preprint, 1995.

[00002] [J] T. Jech, Set Theory, Academic Press, New York, 1978.

[00003] [Sh:g] S. Shelah, Cardinal Arithmetic, Oxford Logic Guides 29, Oxford Univ. Press, 1994.

[00004] [Sh 430] S. Shelah, Further cardinal arithmetic, Israel J. Math. 95 (1996), 61-114. | Zbl 0864.03032

[00005] [Sh 420] S. Shelah, Advances in cardinal arithmetic, in: Finite and Infinite Combinatorics in Sets and Logic, N. W. Sauer et al. (eds.), Kluwer Acad. Publ., 1993, 355-383. | Zbl 0844.03028

[00006] [Sh 108] S. Shelah, On successors of singular cardinals, in: Logic Colloquium '78 (Mons, 1978), Stud. Logic Found. Math. 97, North-Holland, Amsterdam, 1979, 357-380.