The tree property on long intervals of regular cardinals
Fuente:
arXiv
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| Autores principales: | , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866912373107851264 |
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| author | Cummings, James Hayut, Yair Magidor, Menachem Neeman, Itay Sinapova, Dima Unger, Spencer |
| author_facet | Cummings, James Hayut, Yair Magidor, Menachem Neeman, Itay Sinapova, Dima Unger, Spencer |
| contents | In this paper we prove that the tree property can hold on regular
cardinals in an interval which overlaps a strong limit cardinal. This is
a crucial milestone in the long term project, tracing back to a question
raised by Foreman and Magidor in the 1980s, of obtaining the tree property at every regular
cardinal above the first uncountable cardinal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_08118 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The tree property on long intervals of regular cardinals Cummings, James Hayut, Yair Magidor, Menachem Neeman, Itay Sinapova, Dima Unger, Spencer Logic In this paper we prove that the tree property can hold on regular cardinals in an interval which overlaps a strong limit cardinal. This is a crucial milestone in the long term project, tracing back to a question raised by Foreman and Magidor in the 1980s, of obtaining the tree property at every regular cardinal above the first uncountable cardinal. |
| title | The tree property on long intervals of regular cardinals |
| topic | Logic |
| url | https://arxiv.org/abs/2505.08118 |