Measurable cardinals and the cardinality of Lindelöf spaces

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Abstract

We obtain from the consistency of the existence of a measurable cardinal the consistency of " small" upper bounds on the cardinality of a large class of Lindelöf spaces whose singletons are Gδ sets.

Original languageEnglish
Pages (from-to)1651-1657
Number of pages7
JournalTopology and its Applications
Volume157
Issue number9
DOIs
StatePublished - Jun 2010

Keywords

  • Forcing
  • Indestructibly Lindelöf
  • Infinite game
  • Measurable cardinal
  • Rothberger space
  • Weakly precipitous ideal

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