Measure-Theoretic Characterizations of Certain Topological Properties

Tom 53 / 2005

David Buhagiar, Emmanuel Chetcuti, Anatolij Dvurečenskij Bulletin Polish Acad. Sci. Math. 53 (2005), 99-109 MSC: Primary 28C15, 54D45, 54D99; Secondary 54E15, 54E50. DOI: 10.4064/ba53-1-9

Streszczenie

It is shown that Čech completeness, ultracompleteness and local compactness can be defined by demanding that certain equivalences hold between certain classes of Baire measures or by demanding that certain classes of Baire measures have non-empty support. This shows that these three topological properties are measurable, similarly to the classical examples of compact spaces, pseudo-compact spaces and realcompact spaces.

Autorzy

  • David BuhagiarDepartment of Mathematics
    Faculty of Science
    University of Malta
    Msida MSD.06, Malta
    e-mail
  • Emmanuel ChetcutiMathematical Institute
    Slovak Academy of Sciences
    Štefánikova 49
    SK-814 73 Bratislava, Slovakia
    e-mail
  • Anatolij DvurečenskijMathematical Institute
    Slovak Academy of Sciences
    Štefánikova 49
    SK-814 73 Bratislava, Slovakia
    e-mail

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