Woodin for strong compactness cardinals

Stamatis Dimopoulos*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Woodin and Vopěnka cardinals are established notions in the large cardinal hierarchy and it is known that Vopěnka cardinals are the Woodin analogue for supercompactness. Here we give the definition of Woodin for strong compactness cardinals, the Woodinised version of strong compactness, and we prove an analogue of Magidor's identity crisis theorem for the first strongly compact cardinal.

Original languageEnglish
Pages (from-to)301-319
Number of pages19
JournalJournal of Symbolic Logic
Issue number1
Publication statusPublished - 1 Mar 2019


  • forcing
  • large cardinals
  • strongly compact cardinals
  • Vopěnka cardinals
  • Woodin cardinals


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