A small ultrafilter number at all $\aleph_3\leqκ<\aleph_ω$
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911102823038976 |
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| author | Eshkol, Julian |
| author_facet | Eshkol, Julian |
| contents | This note shows how recent work of Eskew and Hayut can be combined with a method of Raghavan and Shelah to show the consistency of $\mathfrak u_κ<2^κ$ for $\aleph_3\leq κ<\aleph_ω$, from a huge cardinal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07456 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A small ultrafilter number at all $\aleph_3\leqκ<\aleph_ω$ Eshkol, Julian Logic This note shows how recent work of Eskew and Hayut can be combined with a method of Raghavan and Shelah to show the consistency of $\mathfrak u_κ<2^κ$ for $\aleph_3\leq κ<\aleph_ω$, from a huge cardinal. |
| title | A small ultrafilter number at all $\aleph_3\leqκ<\aleph_ω$ |
| topic | Logic |
| url | https://arxiv.org/abs/2508.07456 |