Cichoń’s maximum without large cardinals

Martin Goldstern, Jakob Kellner, Diego A. Mejía, Saharon Shelah

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Cichoń’s diagram lists twelve cardinal characteristics (and the provable inequalities between them) associated with the ideals of null sets, meager sets, countable sets, and σ-compact subsets of the irrationals. It is consistent that all entries of Cichoń’s diagram are pairwise different (apart from add(M) and cof(M), which are provably equal to other entries). However, the consistency proofs so far required large cardinal assumptions. In this work, we show the consistency without such assumptions.

Original languageEnglish
Pages (from-to)3951-3967
Number of pages17
JournalJournal of the European Mathematical Society
Volume24
Issue number11
DOIs
StatePublished - 2022

Bibliographical note

Publisher Copyright:
© 2021 European Mathematical Society Published by EMS.

Keywords

  • Cichoń’s diagram
  • forcing
  • Set theory

Fingerprint

Dive into the research topics of 'Cichoń’s maximum without large cardinals'. Together they form a unique fingerprint.

Cite this