Ultrafilters in the random real model
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916954163380224 |
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| author | Dow, Alan Guzmán, Osvaldo |
| author_facet | Dow, Alan Guzmán, Osvaldo |
| contents | We prove that \textsf{P}-points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than $\aleph_ω% $-many random reals to a model of \textsf{CH. }These results improve and correct previous theorems that can be found in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_08346 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Ultrafilters in the random real model Dow, Alan Guzmán, Osvaldo Logic 03E05, 03E17, 03E35, 03E65 We prove that \textsf{P}-points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than $\aleph_ω% $-many random reals to a model of \textsf{CH. }These results improve and correct previous theorems that can be found in the literature. |
| title | Ultrafilters in the random real model |
| topic | Logic 03E05, 03E17, 03E35, 03E65 |
| url | https://arxiv.org/abs/2507.08346 |