Trichotomies for ideals of compact sets

É Matheron, S. Solecki, M. Zelený

Research output: Contribution to journalArticlepeer-review


We prove several trichotomy results for ideals of compact sets. Typically, we show that a "sufficiently rich" universally Baire ideal is either π3 0-hard, or Σ3 0-hard, or else a σ-ideal.

Original languageEnglish (US)
Pages (from-to)586-598
Number of pages13
JournalJournal of Symbolic Logic
Issue number2
StatePublished - Jun 2006


  • Descriptive set theory
  • Ideals of compact sets

ASJC Scopus subject areas

  • Philosophy
  • Logic

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