Negating the Galvin Property
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910334275551232 |
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| author | Benhamou, Tom Garti, Shimon Poveda, Alejandro |
| author_facet | Benhamou, Tom Garti, Shimon Poveda, Alejandro |
| contents | We prove that Galvin's property consistently fails at successors of strong limit singular cardinals. We also prove the consistency of this property failing at every successor of a singular cardinal. In addition, the paper analyzes the effect of Prikry-type forcings on the strong failure of the Galvin property and explores stronger forms of this property in the context of large cardinals |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_13373 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Negating the Galvin Property Benhamou, Tom Garti, Shimon Poveda, Alejandro Logic 03E35, 03E55 We prove that Galvin's property consistently fails at successors of strong limit singular cardinals. We also prove the consistency of this property failing at every successor of a singular cardinal. In addition, the paper analyzes the effect of Prikry-type forcings on the strong failure of the Galvin property and explores stronger forms of this property in the context of large cardinals |
| title | Negating the Galvin Property |
| topic | Logic 03E35, 03E55 |
| url | https://arxiv.org/abs/2112.13373 |