Partition ideals below $\aleph _{\omega} $
Volume 217 / 2012
Fundamenta Mathematicae 217 (2012), 21-34
MSC: Primary 03E35; Secondary 03E02, 03E55.
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 $\aleph _2$ living on index sets of the form $[\aleph _k]^\omega $ and use this to refine the well-known high-dimensional polarized partition relation for $\aleph _\omega $ of Shelah.
