Measure-Theoretic Characterizations of Certain Topological Properties

• Autorzy: David Buhagiar , Emmanuel Chetcuti , Anatolij Dvurečenskij
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54E15: Uniform structures and generalizations
• 54D99: None of the above, but in this section
• 28C15: Set functions and measures on topological spaces (regularity of measures, etc.)
• 54E50: Complete metric spaces
• 54D45: Local compactness, σ -compactness

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2005
• Tom: 53
• Numer: 1
• Strony: 99-109

Daty

wydano

2005

Twórcy

autor

David Buhagiar

• Department of Mathematics, Faculty of Science, University of Malta, Msida MSD.06, Malta

autor

Emmanuel Chetcuti

• Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia

autor

Anatolij Dvurečenskij

• Mathematical Institute, Slovak Academy of Sciences, Štefánikova 49, SK-814 73 Bratislava, Slovakia

Identyfikatory

DOI

10.4064/ba53-1-9