On Namba Forcing and Minimal Collapses
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911209697050624 |
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| author | Levine, Maxwell |
| author_facet | Levine, Maxwell |
| contents | We build on a 1990 paper of Bukovsky and Coplakova-Hartova. First, we remove the hypothesis of $\textsf{CH}$ from one of their minimality results. Then, using a measurable cardinal, we show that there is a $|\aleph_2^V|=\aleph_1$-minimal extension that is not a $|\aleph_3^V|=\aleph_1$-extension, answering the first of their questions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Namba Forcing and Minimal Collapses Levine, Maxwell Logic 03E10, 03E35, 03E55 We build on a 1990 paper of Bukovsky and Coplakova-Hartova. First, we remove the hypothesis of $\textsf{CH}$ from one of their minimality results. Then, using a measurable cardinal, we show that there is a $|\aleph_2^V|=\aleph_1$-minimal extension that is not a $|\aleph_3^V|=\aleph_1$-extension, answering the first of their questions. |
| title | On Namba Forcing and Minimal Collapses |
| topic | Logic 03E10, 03E35, 03E55 |
| url | https://arxiv.org/abs/2408.03487 |