Some combinatorial problems on the measurability of functions with respect to invariant extensions of the Lebesgue measure
A. B. Kharazishvili (2010)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “Some properties od step-punctions connected with extensions of measures”
Some combinatorial problems on the measurability of functions with respect to invariant extensions of the Lebesgue measure
Extensions of invariant measures on Euclidean spaces
Krzysztof Ciesielski, Andrzej Pelc (1985)
Fundamenta Mathematicae
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Some remarks on density points and the uniqueness property for invariant extensions of the Lebesgue measure
A. B. Kharazishvili (1994)
Acta Universitatis Carolinae. Mathematica et Physica
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On the average of inner and outer measures
D. Fremlin (1991)
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The uniqueness of Haar measure and set theory
Piotr Zakrzewski (1997)
Colloquium Mathematicae
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Let G be a group of homeomorphisms of a nondiscrete, locally compact, σ-compact topological space X and suppose that a Haar measure on X exists: a regular Borel measure μ, positive on nonempty open sets, finite on compact sets and invariant under the homeomorphisms from G. Under some mild assumptions on G and X we prove that the measure completion of μ is the unique, up to a constant factor, nonzero, σ-finite, G-invariant measure defined on its domain iff μ is ergodic and the G-orbits...
On the extension of measures.
Baltasar Rodríguez-Salinas (2001)
RACSAM
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We give necessary and sufficient conditions for a totally ordered by extension family (Ω, Σ, μ) of spaces of probability to have a measure μ which is an extension of all the measures μ. As an application we study when a probability measure on Ω has an extension defined on all the subsets of Ω.