Cascading Variants of Internal Approachability
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910426733740032 |
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| author | Jakob, Hannes |
| author_facet | Jakob, Hannes |
| contents | We construct models in which there are stationarily many structures that exhibit different variants of internal approachability at different levels. This answers a question of Foreman. We also show that the approachability property at $μ$ is consistent with having a distinction of variants of internal approachability for stationarily many $N\in[H(μ^+)]^μ$. This is obtained using a new version of Mitchell Forcing. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18571 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cascading Variants of Internal Approachability Jakob, Hannes Logic 03E05 (Primary), 03E35, 03E55 We construct models in which there are stationarily many structures that exhibit different variants of internal approachability at different levels. This answers a question of Foreman. We also show that the approachability property at $μ$ is consistent with having a distinction of variants of internal approachability for stationarily many $N\in[H(μ^+)]^μ$. This is obtained using a new version of Mitchell Forcing. |
| title | Cascading Variants of Internal Approachability |
| topic | Logic 03E05 (Primary), 03E35, 03E55 |
| url | https://arxiv.org/abs/2404.18571 |