Another ordering of the ten cardinal characteristics in Cichoń's diagram

Jakob Kellner, Saharon Shelah, Anda R. Tănasie

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

It is consistent that ℵ 1 < add(N) < add(M) = b < cov(N) < non(M) < cov(M) = 2 ℵ0 . Assuming four strongly compact cardinals, it is consistent that ℵ 1 < add(N) < add(M) = b < cov(N) < non(M) < cov(M) < non(N) < cof(M) = d < cof(N) < 2 ℵ0 .

Original languageEnglish
Pages (from-to)61-95
Number of pages35
JournalCommentationes Mathematicae Universitatis Carolinae
Volume60
Issue number1
DOIs
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019, Charles University, Faculty of Mathematics and Physics.

Keywords

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

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