Extendible cardinals and the mantle

    Research output: Contribution to journalArticlepeer-review


    The mantle is the intersection of all ground models of V. We show that if there exists an extendible cardinal then the mantle is the smallest ground model of V.

    Original languageEnglish
    Pages (from-to)1-5
    Number of pages5
    JournalArchive for Mathematical Logic
    Publication statusAccepted/In press - 2018 Apr 18


    • Extendible cardinal
    • Mantle
    • Set-theoretic geology

    ASJC Scopus subject areas

    • Philosophy
    • Logic

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