Square and Delta reflection

Laura Fontanella*, Yair Hayut

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Starting from infinitely many supercompact cardinals, we force a model of ZFC where ℵω2+1 satisfies simultaneously a strong principle of reflection, called δ-reflection, and a version of the square principle, denoted □(ℵω2+1). Thus we show that ℵω2+1 can satisfy simultaneously a strong reflection principle and an anti-reflection principle.

Original languageAmerican English
Pages (from-to)663-683
Number of pages21
JournalAnnals of Pure and Applied Logic
Volume167
Issue number8
DOIs
StatePublished - 1 Aug 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

  • Forcing
  • Large cardinals
  • Primary
  • Reflection principles
  • Secondary
  • Square

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