Definable maximal independent families

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Erscheinungsjahr:
2019
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Text
Schlagworte:
  • Article
  • Article
Beschreibung:
  • We study maximal independent families (m.i.f.) in the projective hierarchy. We show that (a) the existence of a Sigma(1)(2) m.i.f. is equivalent to the existence of a Pi(1)(1) m.i.f., (b) in the Cohen model, there are no projective maximal independent families, and (c) in the Sacks model, there is a Pi(1)(1) m.i.f. We also consider a new cardinal invariant related to the question of destroying or preserving maximal independent families.
Lizenz:
  • info:eu-repo/semantics/restrictedAccess
Quellsystem:
Forschungsinformationssystem der UHH

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oai:www.edit.fis.uni-hamburg.de:publications/a3b70713-1a95-4c3d-95eb-080321db8868