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)71-75
Number of pages5
JournalArchive for Mathematical Logic
Issue number1-2
Publication statusPublished - 2019 Feb 5


  • Extendible cardinal
  • Mantle
  • Set-theoretic geology

ASJC Scopus subject areas

  • Philosophy
  • Logic

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