• Title of article

    Countable Fréchet topological groups under CH

  • Author/Authors

    Tsugunori and Shibakov، نويسنده , , A.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 1999
  • Pages
    21
  • From page
    119
  • To page
    139
  • Abstract
    We construct under CH a countable Fréchet topological group with sequential non-Fréchet square and a countable Fréchet α3-group which is not α2. We also give a simple proof that for Fréchet topological groups α1.5 is equivalent to α1. This answers some questions of D. Shakhmatov.
  • Keywords
    Fréchet space , Sequential space , ?i-space , Topological group , Product operation
  • Journal title
    Topology and its Applications
  • Serial Year
    1999
  • Journal title
    Topology and its Applications
  • Record number

    1579324

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1579324