• Title of article

    On topological spaces of singular density and minimal weight

  • Author/Authors

    Rinot، نويسنده , , Assaf، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2007
  • Pages
    6
  • From page
    135
  • To page
    140
  • Abstract
    We introduce a weakening of the generalized continuum hypothesis, which we will refer to as the prevalent singular cardinals hypothesis, and show it implies that every topological space of density and weight ℵ ω 1 is not hereditarily Lindelöf. sumption PSH is very weak, and in fact holds in all currently known models of ZFC.
  • Keywords
    Prevalent singular cardinals , Singular cardinals combinatorics , Hereditarily Lindelِf space , Singular density , cardinal function
  • Journal title
    Topology and its Applications
  • Serial Year
    2007
  • Journal title
    Topology and its Applications
  • Record number

    1581534

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=1581534