Magidor-like forcing and the cofinality of the Galvin number

Shimon Garti

doi:10.5802/crmath.760

Research article - Mathematical logic

Magidor-like forcing and the cofinality of the Galvin number

Shimon Garti ¹

¹Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

Comptes Rendus. Mathématique, Volume 363 (2025), pp. 1003-1011

Abstract (Original language)
Résumé

We prove that one can force over a model of AD to obtain countable cofinality of the full Galvin number.

Nous prouvons que l’on peut forcer sur un modèle d’AD pour obtenir une cofinalité dénombrable du nombre de Galvin.

Received: 2024-05-08
Accepted: 2025-05-14
Revised after acceptance: 2025-05-19
Published online: 2025-09-05

DOI: 10.5802/crmath.760

Classification: 03E60, 03E35, 03E55
Keywords: Determinacy, Galvin number, Magidor-like forcing
Mots-clés : Détermination, nombre de Galvin, forcing à la Magidor

Author's affiliations:

Shimon Garti ¹

¹ Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel

License:

CC-BY 4.0

Copyrights: The authors retain unrestricted copyrights and publishing rights

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     title = {Magidor-like forcing and the cofinality of the {Galvin} number},
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Shimon Garti. Magidor-like forcing and the cofinality of the Galvin number. Comptes Rendus. Mathématique, Volume 363 (2025), pp. 1003-1011. doi: 10.5802/crmath.760

References
Cited by

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