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Magidor-like forcing and the cofinality of the Galvin number.

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Title: Magidor-like forcing and the cofinality of the Galvin number.
Alternate Title: Forcing à la Magidor et cofinalité du nombre de Galvin.
Authors: Garti, Shimon1 shimon.garty@mail.huji.ac.il
Source: Comptes Rendus. Mathématique. 2025, Vol. 363, p1003-1011. 9p.
Subjects: Forcing (Model theory), Set theory, Mathematics
Abstract (English): We prove that one can force over a model of AD to obtain countable cofinality of the full Galvin number. [ABSTRACT FROM AUTHOR]
Abstract (French): Nous prouvons que l’on peut forcer sur un modèle d’AD pour obtenir une cofinalité dénombrable du nombre de Galvin. [ABSTRACT FROM AUTHOR]
Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
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AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Magidor-like forcing and the cofinality of the Galvin number.
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  Data: Forcing à la Magidor et cofinalité du nombre de Galvin.
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  Data: <searchLink fieldCode="AR" term="%22Garti%2C+Shimon%22">Garti, Shimon</searchLink><relatesTo>1</relatesTo><i> shimon.garty@mail.huji.ac.il</i>
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  Data: We prove that one can force over a model of AD to obtain countable cofinality of the full Galvin number. [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (French)
  Group: Ab
  Data: Nous prouvons que l’on peut forcer sur un modèle d’AD pour obtenir une cofinalité dénombrable du nombre de Galvin. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Comptes Rendus. Mathématique is the property of Academie des Science, Centre Mersenne and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=191338562
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        Value: 10.5802/crmath.760
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        Text: English
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      – SubjectFull: Forcing (Model theory)
        Type: general
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      – SubjectFull: Mathematics
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      – TitleFull: Magidor-like forcing and the cofinality of the Galvin number.
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              Text: 2025
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              Y: 2025
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              Value: 363
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