Dominating and unbounded free sets

Slawomir Solecki, Otmar Spinas

Research output: Contribution to journalArticlepeer-review


We prove that every analytic set in ωω × ωω with σ-bounded sections has a not σ-bounded closed free set. We show that this result is sharp. There exists a closed set with bounded sections which has no dominating analytic free set, and there exists a closed set with non-dominating sections which does not have a not σ-bounded analytic free set. Under projective determinacy analytic can be replaced in the above results by projective.

Original languageEnglish (US)
Pages (from-to)75-80
Number of pages6
JournalJournal of Symbolic Logic
Issue number1
StatePublished - Mar 1999

ASJC Scopus subject areas

  • Philosophy
  • Logic


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