Split Principles
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2017
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909401362726912 |
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| author | Fuchs, Gunter Minden, Kaethe |
| author_facet | Fuchs, Gunter Minden, Kaethe |
| contents | We introduce the split principles and show that they bear tight connections to large cardinal properties such as inaccessibility, weak compactness, subtlety, almost ineffability and ineffability, as well as classical combinatorial objects such as Aronszajn trees, Souslin trees or square principles. We exhibit correspondences between certain split principles and splitting numbers at uncountable cardinals. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1702_07041 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Split Principles Fuchs, Gunter Minden, Kaethe Logic 03E55, 03E05 We introduce the split principles and show that they bear tight connections to large cardinal properties such as inaccessibility, weak compactness, subtlety, almost ineffability and ineffability, as well as classical combinatorial objects such as Aronszajn trees, Souslin trees or square principles. We exhibit correspondences between certain split principles and splitting numbers at uncountable cardinals. |
| title | Split Principles |
| topic | Logic 03E55, 03E05 |
| url | https://arxiv.org/abs/1702.07041 |