Adding $\aleph_ω$ many Cohen reals
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912727495081984 |
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| author | Marun, Pedro Shelah, Saharon Switzer, Corey Bacal |
| author_facet | Marun, Pedro Shelah, Saharon Switzer, Corey Bacal |
| contents | Abstractly, the generic extensions after $\aleph_ω$-many Cohen reals and $\aleph_{ω+1}$-many Cohen reals must be different for reasons of uniform density the relevant Boolean algebras. Nevertheless this is not satisfying and it would be nice to pin the difference between the two models down to some mathematical or combinatorial principle. In this paper we provide such a principle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_19721 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Adding $\aleph_ω$ many Cohen reals Marun, Pedro Shelah, Saharon Switzer, Corey Bacal Logic 03E40, 03E50 Abstractly, the generic extensions after $\aleph_ω$-many Cohen reals and $\aleph_{ω+1}$-many Cohen reals must be different for reasons of uniform density the relevant Boolean algebras. Nevertheless this is not satisfying and it would be nice to pin the difference between the two models down to some mathematical or combinatorial principle. In this paper we provide such a principle. |
| title | Adding $\aleph_ω$ many Cohen reals |
| topic | Logic 03E40, 03E50 |
| url | https://arxiv.org/abs/2511.19721 |