Diamonds, compactness, and measure sequences

Omer Ben-Neria*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

We establish the consistency of the failure of the diamond principle on a cardinal κ which satisfies a strong simultaneous reflection property. The result is based on an analysis of Radin forcing, and further leads to a characterization of weak compactness of κ in a Radin generic extension.

Original languageAmerican English
Article number1950002
JournalJournal of Mathematical Logic
Volume19
Issue number1
DOIs
StatePublished - 1 Jun 2019

Bibliographical note

Publisher Copyright:
© 2019 World Scientific Publishing Company.

Keywords

  • Diamond
  • Radin forcing
  • repeat point
  • stationary reflection
  • weakly compact cardinal

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