The complexity of non-stationary ideals
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929316590256128 |
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| author | Lücke, Philipp |
| author_facet | Lücke, Philipp |
| contents | We present an overview of results on the question of whether the non-stationary ideal of an uncountable regular cardinal $κ$ can be defined by a $Π_1$-formula using parameters of hereditary cardinality at most $κ$. These results show that this question is deeply connected to several central topics of current research in set theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03315 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The complexity of non-stationary ideals Lücke, Philipp Logic Primary: 03E47, Secondary 03E05, 03E35, 03E45 We present an overview of results on the question of whether the non-stationary ideal of an uncountable regular cardinal $κ$ can be defined by a $Π_1$-formula using parameters of hereditary cardinality at most $κ$. These results show that this question is deeply connected to several central topics of current research in set theory. |
| title | The complexity of non-stationary ideals |
| topic | Logic Primary: 03E47, Secondary 03E05, 03E35, 03E45 |
| url | https://arxiv.org/abs/2404.03315 |