Strongly increasing sequences
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866912991156371456 |
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| author | Larson, Paul B. Lambie-Hanson, Chris |
| author_facet | Larson, Paul B. Lambie-Hanson, Chris |
| contents | Using a variation of Woodin's $\mathbb{P}_{\mathrm{max}}$ forcing, we force over a model of the Axiom of Determinacy to produce a model of ZFC containing a very strongly increasing sequence of length $ω_{2}$ consisting of functions from $ω$ to $ω$. We also show that there can be no such sequence of length $ω_{4}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_06758 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strongly increasing sequences Larson, Paul B. Lambie-Hanson, Chris Logic 03E05 Using a variation of Woodin's $\mathbb{P}_{\mathrm{max}}$ forcing, we force over a model of the Axiom of Determinacy to produce a model of ZFC containing a very strongly increasing sequence of length $ω_{2}$ consisting of functions from $ω$ to $ω$. We also show that there can be no such sequence of length $ω_{4}$. |
| title | Strongly increasing sequences |
| topic | Logic 03E05 |
| url | https://arxiv.org/abs/2503.06758 |