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Partition subalgebras for maximal almost disjoint families
Annals of Pure and Applied Logic 117 (1-3):223-259 (2002)
Abstract
Partitioner algebras are defined by Baumgartner and Weese 619) as a natural tool for studying the properties of maximal almost disjoint families of subsets of ω. We prove from PFA+ and that there exists a partitioner algebra which contains a subalgebra which is not representable as a partitioner algebraMy notes
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References found in this work
On the Consistency of Some Partition Theorems for Continuous Colorings, and the Structure of ℵ 1 -Dense Real Order Types.J. Steprans, Uri Abraham, Matatyahu Rubin & Saharon Shelah - 2002 - Bulletin of Symbolic Logic 8 (2):303.
On the consistency of some partition theorems for continuous colorings, and the structure of ℵ1-dense real order types.Uri Abraham, Matatyahu Rubin & Saharon Shelah - 1985 - Annals of Pure and Applied Logic 29 (2):123-206.
On the existence of strong chains in ℘(ω1)/fin.Piotr Koszmider - 1998 - Journal of Symbolic Logic 63 (3):1055 - 1062.
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