No covering with nowhere dense \textsf{P}-sets in the Cohen model
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916954200080384 |
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| author | Dow, Alan Guzmán, Osvaldo |
| author_facet | Dow, Alan Guzmán, Osvaldo |
| contents | We prove that if less than $\aleph_ω$-many Cohen reals are added to a model of \textsf{CH}, then $ω^{\ast}$ can not be covered by nowhere dense \textsf{P}-sets (equivalently, there is an ultrafilter on $ω$ that does not contain a tower). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22476 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | No covering with nowhere dense \textsf{P}-sets in the Cohen model Dow, Alan Guzmán, Osvaldo Logic General Topology We prove that if less than $\aleph_ω$-many Cohen reals are added to a model of \textsf{CH}, then $ω^{\ast}$ can not be covered by nowhere dense \textsf{P}-sets (equivalently, there is an ultrafilter on $ω$ that does not contain a tower). |
| title | No covering with nowhere dense \textsf{P}-sets in the Cohen model |
| topic | Logic General Topology |
| url | https://arxiv.org/abs/2507.22476 |