Group radicals and strongly compact cardinals

Joan Bagaria, Menachem Magidor

Research output: Contribution to journalArticlepeer-review

25 Scopus citations

Abstract

We answer some natural questions about group radicals and torsion classes, which involve the existence of measurable cardinals, by constructing, relative to the existence of a supercompact cardinal, a model of ZFC in which the first ω1-strongly compact cardinal is singular.

Original languageEnglish
Pages (from-to)1857-1877
Number of pages21
JournalTransactions of the American Mathematical Society
Volume366
Issue number4
DOIs
StatePublished - 2014

Keywords

  • Group radical
  • Infinite abelian group
  • Measurable cardinal
  • Radin forcing
  • Strongly compact cardinal
  • Supercompact cardinal
  • Torsion class

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