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arXiv:0912.0431 [math.LO]AbstractReferencesReviewsResources

Optimal Matrices of Partitions and an Application to Souslin Trees

Gido Scharfenberger-Fabian

Published 2009-12-02, updated 2010-05-26Version 2

The basic result of this note is a statement about the existence of families of partitions of the set of natural numbers with some favourable properties, the n-optimal matrices of partitions. We use this to improve a decomposition result for strongly homogeneous Souslin trees. The latter is in turn applied to separate strong notions of rigidity of Souslin trees, thereby answering a considerable portion of a question of Fuchs and Hamkins.

Comments: 19 pages, submitted to Fundamenta Mathematicae
Categories: math.LO
Subjects: 03E05, 05A18
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