Universal wide Aronszajn tree
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866908639201067008 |
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| author | Kivimäki, Siiri |
| author_facet | Kivimäki, Siiri |
| contents | A wide Aronszajn tree is a tree of size $\aleph_1$ with no uncountable branches. Assuming the consistency of the existence of a weakly compact cardinal, we show the consistency of the existence of a wide Aronszajn tree that is \textit{universal} in the sense that it contains an isomorphic copy of every wide Aronszajn tree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_06526 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal wide Aronszajn tree Kivimäki, Siiri Logic 03E35 A wide Aronszajn tree is a tree of size $\aleph_1$ with no uncountable branches. Assuming the consistency of the existence of a weakly compact cardinal, we show the consistency of the existence of a wide Aronszajn tree that is \textit{universal} in the sense that it contains an isomorphic copy of every wide Aronszajn tree. |
| title | Universal wide Aronszajn tree |
| topic | Logic 03E35 |
| url | https://arxiv.org/abs/2511.06526 |