Comptes Rendus
Mathematical logic
Tiltan and Superclub
Comptes Rendus. Mathématique, Volume 361 (2023), pp. 853-861.

We show that one can force superclub with an arbitrarily large value of cov(). We prove that the club principle is consistent with an arbitrarily large value of add(). We also prove that if κ is regular then superclub at κ + implies Q(κ + ,κ + ,κ + ).

Nous prouvons que superclub est consistant avec une valeur arbitrairement élevée de cov(). Nous prouvons que trèfle est consistant avec une valeur arbitrairement élevée de add(). Nous prouvons aussi que superclub en κ + implique Q(κ + ,κ + ,κ + ) si κ est un cardinal régulier.

Received:
Accepted:
Published online:
DOI: 10.5802/crmath.434
Classification: 05C63, 03E02, 03E17
Keywords: Superclub, club (tiltan), invariants of measure and category, infinite graphs, square brackets
Shimon Garti 1; Saharon Shelah 2, 3

1 Einstein Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
2 EinsteinInstitute of Mathematics, The Hebrew University of Jerusalem, Jerusalem 91904, Israel
3 Department of Mathematics Rutgers University New Brunswick, NJ 08854, USA
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights
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Shimon Garti; Saharon Shelah. Tiltan and Superclub. Comptes Rendus. Mathématique, Volume 361 (2023), pp. 853-861. doi : 10.5802/crmath.434. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.434/

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