The Galvin property at $κ^{++}$ and not at $κ^+$
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866911112071479296 |
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| author | Gitik, Moti Herpe, Shachar |
| author_facet | Gitik, Moti Herpe, Shachar |
| contents | We construct a $κ-$complete ultrafilter $W$ over $κ$ such that $\neg$Gal$(κ, W, κ^+)$ and Gal$(κ, W, κ^{++})$. This answers a question of T. Benhamou and G. Goldberg. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_14619 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Galvin property at $κ^{++}$ and not at $κ^+$ Gitik, Moti Herpe, Shachar Logic We construct a $κ-$complete ultrafilter $W$ over $κ$ such that $\neg$Gal$(κ, W, κ^+)$ and Gal$(κ, W, κ^{++})$. This answers a question of T. Benhamou and G. Goldberg. |
| title | The Galvin property at $κ^{++}$ and not at $κ^+$ |
| topic | Logic |
| url | https://arxiv.org/abs/2508.14619 |