• Title of article

    Arcs in the plane

  • Author/Authors

    Hart، نويسنده , , Joan E. and Kunen، نويسنده , , Kenneth، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2011
  • Pages
    9
  • From page
    2503
  • To page
    2511
  • Abstract
    Assuming PFA, every uncountable subset E of the plane meets some C 1 arc in an uncountable set. This is not provable from MA ( ℵ 1 ) , although in the case that E is analytic, this is a ZFC result. The result is false in ZFC for C 2 arcs, and the counter-example is a perfect set.
  • Keywords
    MA , ARC , Smooth , PFA
  • Journal title
    Topology and its Applications
  • Serial Year
    2011
  • Journal title
    Topology and its Applications
  • Record number

    1583125

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1583125