Measure-Theoretic Characterizations of Certain Topological Properties

David Buhagiar, Emmanuel Chetcuti, and Anatolij Dvurečenskij. "Measure-Theoretic Characterizations of Certain Topological Properties." Bulletin of the Polish Academy of Sciences. Mathematics 53.1 (2005): 99-109. <http://eudml.org/doc/280790>.

@article{DavidBuhagiar2005,
abstract = {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.},
author = {David Buhagiar, Emmanuel Chetcuti, Anatolij Dvurečenskij},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {Baire measure; Čech completeness; ultracompleteness; local compactness},
language = {eng},
number = {1},
pages = {99-109},
title = {Measure-Theoretic Characterizations of Certain Topological Properties},
url = {http://eudml.org/doc/280790},
volume = {53},
year = {2005},
}

TY - JOUR
AU - David Buhagiar
AU - Emmanuel Chetcuti
AU - Anatolij Dvurečenskij
TI - Measure-Theoretic Characterizations of Certain Topological Properties
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2005
VL - 53
IS - 1
SP - 99
EP - 109
AB - 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.
LA - eng
KW - Baire measure; Čech completeness; ultracompleteness; local compactness
UR - http://eudml.org/doc/280790
ER -