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Partition ideals below ℵ ω

P. Dodos;  J. Lopez-Abad;  S. Todorcevic — 2012

Fundamenta Mathematicae

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 [ ℵ k ] ω and use this to refine the well-known high-dimensional polarized partition relation for ℵ ω of Shelah.

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