| Authors: | Dodos, Pandelis Lopez-Abad, Jorge Todorčević, Stevo |
Title: | Partition ideals below Nω | Journal: | Fundamenta Mathematicae | Volume: | 217 | Issue: | 1 | First page: | 21 | Last page: | 34 | Issue Date: | 3-May-2012 | Rank: | M22 | ISSN: | 0016-2736 | DOI: | 10.4064/fm217-1-3 | Abstract: | Motivated by an application to the unconditional basic sequence problem appearing in our previous paper, we introduce analogues of the Laver ideal on N 2 living on index sets of the form [N k] ω and use this to refine the well-known high-dimensional polarized partition relation for N ω of Shelah. |
Keywords: | Forcing | Polarized Ramsey property | Strongly compact cardinal | Publisher: | Instytut Matematyczny Polskiej Akademii Nauk |
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