• Title of article

    Partition subalgebras for maximal almost disjoint families Original Research Article

  • Author/Authors

    Alan Dow، نويسنده , , Jinyuan Zhou، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2002
  • Pages
    37
  • From page
    223
  • To page
    259
  • Abstract
    Partitioner algebras are defined by Baumgartner and Weese (Trans. Amer. Math. Soc. 274 (2) (1982) 619) as a natural tool for studying the properties of maximal almost disjoint families of subsets of ω. We prove from PFA+ and ♢(S02) that there exists a partitioner algebra which contains a subalgebra which is not representable as a partitioner algebra.
  • Keywords
    Boolean algebra , Partitioner , Representable , Forcing , Coherent sequence , Mad family , PFA+
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    2002
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    889863