On skew ultralimits and their applications in ultrafilter theory
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914551598940160 |
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| author | Poliakov, Nikolai L. |
| author_facet | Poliakov, Nikolai L. |
| contents | We define a special version of the ultralimit, called the skewed ultralimit. Using this tool, we show that the set of ultrafilter types in the $C$-equivalence class of a Ramsey ultrafilter $\mathfrak u\in βω$ with the Rudin-Keisler order is isomorphic to the ultrapower of $(ω, \leq)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_09714 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On skew ultralimits and their applications in ultrafilter theory Poliakov, Nikolai L. Logic We define a special version of the ultralimit, called the skewed ultralimit. Using this tool, we show that the set of ultrafilter types in the $C$-equivalence class of a Ramsey ultrafilter $\mathfrak u\in βω$ with the Rudin-Keisler order is isomorphic to the ultrapower of $(ω, \leq)$. |
| title | On skew ultralimits and their applications in ultrafilter theory |
| topic | Logic |
| url | https://arxiv.org/abs/2605.09714 |