A ccc indestructible construction with CH
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912798020206592 |
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| author | Peng, Yinhe |
| author_facet | Peng, Yinhe |
| contents | We introduce a variant of the Kurepa family. We then use one such family to construct a ccc indestructible property associated with a complete coherent Suslin tree $S$. Moreover, in every ccc forcing extension that preserves Suslin of $S$, forcing with $S$ induces a strong negative partition relation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_24821 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A ccc indestructible construction with CH Peng, Yinhe Logic 03E57, 03E65, 03E02 We introduce a variant of the Kurepa family. We then use one such family to construct a ccc indestructible property associated with a complete coherent Suslin tree $S$. Moreover, in every ccc forcing extension that preserves Suslin of $S$, forcing with $S$ induces a strong negative partition relation. |
| title | A ccc indestructible construction with CH |
| topic | Logic 03E57, 03E65, 03E02 |
| url | https://arxiv.org/abs/2512.24821 |