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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2301.02634 |
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| _version_ | 1866913585599348736 |
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| author | Levine, Maxwell |
| author_facet | Levine, Maxwell |
| contents | We answer a question of Krueger by obtaining disjoint stationary sequences on successive cardinals. The main idea is an alternative presentation of a mixed support iteration, using it even more explicitly as a variant of Mitchell forcing. We also use a Mahlo cardinal to obtain a model in which $\aleph_2 \notin I[\aleph_2]$ and there is no disjoint stationary sequence on $\aleph_2$, answering a question of Gilton. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_02634 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On disjoint stationary sequences Levine, Maxwell Logic 03E35, 03E55 We answer a question of Krueger by obtaining disjoint stationary sequences on successive cardinals. The main idea is an alternative presentation of a mixed support iteration, using it even more explicitly as a variant of Mitchell forcing. We also use a Mahlo cardinal to obtain a model in which $\aleph_2 \notin I[\aleph_2]$ and there is no disjoint stationary sequence on $\aleph_2$, answering a question of Gilton. |
| title | On disjoint stationary sequences |
| topic | Logic 03E35, 03E55 |
| url | https://arxiv.org/abs/2301.02634 |