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arXiv · 0912.0431

Optimal Matrices of Partitions and an Application to Souslin Trees

Gido Scharfenberger-Fabian
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Abstract

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.

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Gido Scharfenberger-Fabian. 2010-05-26. Optimal Matrices of Partitions and an Application to Souslin Trees. https://arxiv.org/abs/0912.0431

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