• Title of article

    Local coherence Original Research Article

  • Author/Authors

    Bernhard K?nig، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2003
  • Pages
    33
  • From page
    107
  • To page
    139
  • Abstract
    We characterize the tree of functions with finite support in terms of definability. This turns out to have various applications: a new kind of tree dichotomy for ω1 on the one hand. On the other hand, we prove a reflection principle for trees on ω2 under SPFA. This reflection of trees implies stationary reflection.
  • Keywords
    Coherent trees , reflection principles , Aronszajn-trees
  • Journal title
    Annals of Pure and Applied Logic
  • Serial Year
    2003
  • Journal title
    Annals of Pure and Applied Logic
  • Record number

    889925