no. 4
Logic/Combinatorics
Tiltan
[Trèfle]

Présenté par : the Editorial Board

Garti, Shimon1
1 Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
Comptes Rendus. Mathématique, Tome 356 (2018) no. 4, pp. 351-359.

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 sκ>κ+ sont consistants pour un cardinal supercompact κ.

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 sκ>κ+ for a supercompact cardinal κ.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.02.001
Garti, Shimon 1

1 Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel 
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Garti, Shimon. Tiltan. Comptes Rendus. Mathématique, Tome 356 (2018) no. 4, pp. 351-359. doi : 10.1016/j.crma.2018.02.001. http://www.numdam.org/articles/10.1016/j.crma.2018.02.001/

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