On the number of cofinalities of cuts in ultraproducts of linear orders
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_ | 1866915108027891712 |
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| author | Golshani, Mohammad |
| author_facet | Golshani, Mohammad |
| contents | Suppose $κ$ is a regular cardinal and $\bar a=\langle μ_i: i<κ\rangle$ is a non-decreasing sequence of regular cardinals. We study the set of possible cofinalities of cuts Pcut$(\bar a)=\{(λ_1, λ_2):$ for some ultrafilter $D$ on $κ$, $(λ_1, λ_2)$ is the cofinality of a cut of $\prod\limits_{i<κ} μ_i / D \}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the number of cofinalities of cuts in ultraproducts of linear orders Golshani, Mohammad Logic Suppose $κ$ is a regular cardinal and $\bar a=\langle μ_i: i<κ\rangle$ is a non-decreasing sequence of regular cardinals. We study the set of possible cofinalities of cuts Pcut$(\bar a)=\{(λ_1, λ_2):$ for some ultrafilter $D$ on $κ$, $(λ_1, λ_2)$ is the cofinality of a cut of $\prod\limits_{i<κ} μ_i / D \}$. |
| title | On the number of cofinalities of cuts in ultraproducts of linear orders |
| topic | Logic |
| url | https://arxiv.org/abs/2501.10294 |