A Rigid Kurepa Tree From a Free Suslin Tree
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866911156671610880 |
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| author | Krueger, John |
| author_facet | Krueger, John |
| contents | We analyze a countable support product of a free Suslin tree which turns it into a highly rigid Kurepa tree with no Aronszajn subtree. In the process, we introduce a new rigidity property for trees, which says roughly speaking that any non-trivial strictly increasing function from a section of the tree into itself maps into a cofinal branch. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_05633 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A Rigid Kurepa Tree From a Free Suslin Tree Krueger, John Logic 03E05, 03E40 We analyze a countable support product of a free Suslin tree which turns it into a highly rigid Kurepa tree with no Aronszajn subtree. In the process, we introduce a new rigidity property for trees, which says roughly speaking that any non-trivial strictly increasing function from a section of the tree into itself maps into a cofinal branch. |
| title | A Rigid Kurepa Tree From a Free Suslin Tree |
| topic | Logic 03E05, 03E40 |
| url | https://arxiv.org/abs/2303.05633 |