On disjoint stationary sequences
| Autor: | Levine, Maxwell |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Pacific J. Math. 332 (2024) 147-165 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/pjm.2024.332.147 |
| Popis: | 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. Comment: Substantial changes to the proof of Theorem 3, which is now only stated for $\aleph_2$. Amendments to the proof of Theorem 2. Other small changes throughout |
| Databáze: | arXiv |
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