• Title of article

    Indestructible properties of S- and L-spaces

  • Author/Authors

    Soukup، نويسنده , , L، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2001
  • Pages
    13
  • From page
    245
  • To page
    257
  • Abstract
    Building on a method of Abraham and Todorčevič we prove a preservation theorem on certain properties under c.c.c. forcings. Applying this result we show that (1) an uncountable, first countable, 0-dimensional space containing only countable and co-countable open subspaces, and (2) S- and L-groups can exist under Martinʹs Axiom.
  • Keywords
    L-space , S-space , L-group , Martinיs axiom , Iterated forcing , Preservation , Ostaszewsky-space , S-group , First countable
  • Journal title
    Topology and its Applications
  • Serial Year
    2001
  • Journal title
    Topology and its Applications
  • Record number

    1579731