A measurable selection theorem
John Burgess (1980)
Fundamenta Mathematicae
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Displaying similar documents to “On absolutely measurable sets”
A measurable selection theorem
Capacitability and determinacy
Douglas Busch (1979)
Fundamenta Mathematicae
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On bimeasurable images of universally measurable sets
R. Darst (1970)
Fundamenta Mathematicae
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Borel-approachable functions
Steven Shreve (1981)
Fundamenta Mathematicae
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On capacitability and measurability
Maurice Sion (1963)
Annales de l'institut Fourier
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La relation entre la notion de mesurabilité du point de vue de la mesure extérieure de Carathéodory et celle de capacitabilité est étudiée, en particulier pour la capacité dans le potentiel classique. On introduit une notion de capacité abstraite, et dans des conditions très générales on montre que les ensembles analytiques sont capacitables dans ce sens. Plusieurs propriétés des ensembles analytiques sont déduites de cette étude.
Gradients of Borel functions
B. Bongiorno, P. Vetro (1978)
Colloquium Mathematicae
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When is the union of an increasing family of null sets?
Juan González-Hernández, Fernando Hernández-Hernández, César E. Villarreal (2007)
Commentationes Mathematicae Universitatis Carolinae
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We study the problem in the title and show that it is equivalent to the fact that every set of reals is an increasing union of measurable sets. We also show the relationship of it with Sierpi'nski sets.
Some theorems on Borel-measurable functions
G. Lederer (1963)
Colloquium Mathematicae
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