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Optimal Matrices of Partitions and an Application to Souslin Trees
| Content Provider | Semantic Scholar |
|---|---|
| Author | Scharfenberger-Fabian, Gido |
| Copyright Year | 2009 |
| 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. |
| Starting Page | 111 |
| Ending Page | 131 |
| Page Count | 21 |
| File Format | PDF HTM / HTML |
| DOI | 10.4064/fm210-2-2 |
| Alternate Webpage(s) | https://arxiv.org/pdf/0912.0431v2.pdf |
| Alternate Webpage(s) | https://www.impan.pl/shop/publication/transaction/download/product/88340 |
| Alternate Webpage(s) | https://doi.org/10.4064/fm210-2-2 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |