Geodesic
Measure-Theoretic Characterizations of Certain Topological Properties
David Buhagiar 1   ; Emmanuel Chetcuti 2   ; Anatolij Dvurečenskij 2
1 Department of Mathematics Faculty of Science University of Malta Msida MSD.06, Malta
2 Mathematical Institute Slovak Academy of Sciences Štefánikova 49 SK-814 73 Bratislava, Slovakia
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 1, pp. 99-109 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/ba53-1-9
Keywords: shown ech completeness ultracompleteness local compactness defined demanding certain equivalences between certain classes baire measures demanding certain classes baire measures have non empty support shows these three topological properties measurable similarly classical examples compact spaces pseudo compact spaces realcompact spaces

David Buhagiar  1   ; Emmanuel Chetcuti  2   ; Anatolij Dvurečenskij  2

1 Department of Mathematics Faculty of Science University of Malta Msida MSD.06, Malta
2 Mathematical Institute Slovak Academy of Sciences Štefánikova 49 SK-814 73 Bratislava, Slovakia 
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     title = {Measure-Theoretic {Characterizations} of {Certain} {Topological} {Properties}},
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David Buhagiar; Emmanuel Chetcuti; Anatolij Dvurečenskij. Measure-Theoretic Characterizations of Certain Topological Properties. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 53 (2005) no. 1, pp. 99-109. doi: 10.4064/ba53-1-9

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