Compact cardinals and eight values in cichoń's diagram

Anda-Ramona Tanasie, Jakob Kellner, Fabio Elio Tonti

Research output: Contribution to journalArticlepeer-review

Abstract

Assuming three strongly compact cardinals, we show two consistent orderings of eight different cardinal characteristics in Cichon's Diagram by means of forcing. This paper introduces Boolean Ultrapowers of a forcing poset and their applications to set theory for proving consistency results


Original languageEnglish
Pages (from-to)790
Number of pages803
JournalJournal of Symbolic Logic
Volume83
Issue number2
DOIs
Publication statusPublished - 2018

Keywords

  • Forcing
  • Mathematical logic
  • Boolean Ultrapowers
  • Cichon's Diagram
  • large continuum
  • large cardinals
  • set theory of the reals

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