Tiltan and Superclub

Shimon Garti*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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

Original languageAmerican English
Pages (from-to)853-861
Number of pages9
JournalComptes Rendus Mathematique
Issue numberG5
StatePublished - 2023

Bibliographical note

Publisher Copyright:
© 2023 Elsevier Masson SAS. All rights reserved.


  • Superclub
  • club (tiltan)
  • infinite graphs
  • invariants of measure and category
  • square brackets


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