Comparing forcing approaches to dense ideals
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929738752196608 |
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| author | Eskew, Monroe |
| author_facet | Eskew, Monroe |
| contents | We analyze some posets involved in forcing constructions for dense ideals, showing that the Anonymous Collapse and the Dual Shioya Collapse are equivalent for collapsing a large cardinal to $ω_2$. We also give a somewhat simplified construction of a normal ideal $I$ on $ω_2$ such that $\mathcal{P}(ω_2)/I \sim \mathrm{Col}(ω_1,ω_2)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_00964 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Comparing forcing approaches to dense ideals Eskew, Monroe Logic We analyze some posets involved in forcing constructions for dense ideals, showing that the Anonymous Collapse and the Dual Shioya Collapse are equivalent for collapsing a large cardinal to $ω_2$. We also give a somewhat simplified construction of a normal ideal $I$ on $ω_2$ such that $\mathcal{P}(ω_2)/I \sim \mathrm{Col}(ω_1,ω_2)$. |
| title | Comparing forcing approaches to dense ideals |
| topic | Logic |
| url | https://arxiv.org/abs/2503.00964 |