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Woodin for strong compactness cardinals

Research output: Contribution to journalArticle

  • Stamatis Dimopoulos
Original languageEnglish
Pages (from-to)301-319
Number of pages19
JournalJournal of Symbolic Logic
Volume84
Issue number1
DOIs
DateAccepted/In press - 27 Sep 2018
DatePublished (current) - 1 Mar 2019

Abstract

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.

    Research areas

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

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    Rights statement: This is the final published version of the article (version of record). It first appeared online via Cambridge University Press at https://doi.org/10.1017/jsl.2018.67 . Please refer to any applicable terms of use of the publisher.

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