Optimal Matrices of Partitions and an Application to Souslin Trees
Logic
2010-05-28 v2
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.
Cite
@article{arxiv.0912.0431,
title = {Optimal Matrices of Partitions and an Application to Souslin Trees},
author = {Gido Scharfenberger-Fabian},
journal= {arXiv preprint arXiv:0912.0431},
year = {2010}
}
Comments
19 pages, submitted to Fundamenta Mathematicae