Tiltan

Shimon Garti

doi:10.1016/j.crma.2018.02.001

Logic/Combinatorics

Tiltan

Presented by: the Editorial Board

Shimon Garti ¹

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

Comptes Rendus. Mathématique, Volume 356 (2018) no. 4, pp. 351-359.

Abstract
Résumé

We prove the consistency of ♣ with the negation of Galvin's property. On the other hand, we show that superclub implies Galvin's property. We also prove the consistency of $♣_{κ^{+}}$ with $s_{κ} > κ^{+}$ for a supercompact cardinal κ.

Nous démontrons que le principe trèfle ♣ et la négation de la propriété de Galvin sont consistants. D'un autre côté, nous montrons que supertrèfle implique la propriété de Galvin. Nous montrons également que $♣_{κ^{+}}$ et $s_{κ} > κ^{+}$ sont consistants pour un cardinal supercompact κ.

Received: 2018-01-15
Accepted: 2018-02-02
Published online: 2018-02-23

DOI: 10.1016/j.crma.2018.02.001

Author's affiliations:

Shimon Garti ¹

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

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     title = {Tiltan},
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     year = {2018},
     doi = {10.1016/j.crma.2018.02.001},
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Shimon Garti. Tiltan. Comptes Rendus. Mathématique, Volume 356 (2018) no. 4, pp. 351-359. doi : 10.1016/j.crma.2018.02.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.02.001/

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