• Title of article

    An improper arithmetically closed Borel subalgebra of mod FIN

  • Author/Authors

    Enayat، نويسنده , , Ali and Shelah، نويسنده , , Saharon، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2011
  • Pages
    8
  • From page
    2495
  • To page
    2502
  • Abstract
    We show the existence of a subalgebra A ⊆ P ( ω ) that satisfies the following three conditions:• Borel (when P ( ω ) is identified with 2 ω ). arithmetically closed (i.e., A is closed under the Turing jump, and Turing reducibility). rcing notion ( A , ⊆ ) modulo the ideal FIN of finite sets collapses the continuum to ℵ 0 .
  • Keywords
    Completely separable family , Tree indiscernible , Borel structure , forcing
  • Journal title
    Topology and its Applications
  • Serial Year
    2011
  • Journal title
    Topology and its Applications
  • Record number

    1583124