Cichoń's maximum

Martin Goldstern, Jakob Kellner, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Assuming four strongly compact cardinals, it is consistent that all entries in Cichoń's diagram (apart from add(M) and cof(M), whose values are determined by the others) are pairwise different; more specifically, ℵ1 < add(N) < cov(N) < b < non(M) < cov(M) < ∂ < non(N) < cof(N) < 20.

Original languageEnglish
Pages (from-to)113-143
Number of pages31
JournalAnnals of Mathematics
Volume190
Issue number1
DOIs
StatePublished - 1 Jul 2019

Bibliographical note

Publisher Copyright:
© 2019 Department of Mathematics, Princeton University.

Keywords

  • Cichoń's diagram
  • Compact cardinals
  • Forcing
  • Set theory of the reals

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