Partition ideals below ℵω
P. Dodos ; J. Lopez-Abad ; S. Todorcevic
Fundamenta Mathematicae, Tome 219 (2012), p. 21-34 / Harvested from The Polish Digital Mathematics Library
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Motivated by an application to the unconditional basic sequence problem appearing in our previous paper, we introduce analogues of the Laver ideal on ℵ₂ living on index sets of the form [ℵk]ω and use this to refine the well-known high-dimensional polarized partition relation for ℵω of Shelah.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:283009 
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     author = {P. Dodos and J. Lopez-Abad and S. Todorcevic},
     title = {Partition ideals below $\_{o}$
            },
     journal = {Fundamenta Mathematicae},
     volume = {219},
     year = {2012},
     pages = {21-34},
     zbl = {1284.03219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-3}
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P. Dodos; J. Lopez-Abad; S. Todorcevic. Partition ideals below $ℵ_{ω}$
            . Fundamenta Mathematicae, Tome 219 (2012) pp. 21-34. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm217-1-3/