On some methods of extending invariant and quasi-invariant measures

DOI10.1016/J.TRMI.2017.08.002zbMath1390.28001OpenAlexW2753815802MaRDI QIDQ1749321

N. Rusiashvili, Aleks Kirtadze

Publication date: 16 May 2018

Published in: Transactions of A. Razmadze Mathematical Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.trmi.2017.08.002

zbMATH Keywords

invariant measurequasi-invariant measuresurjective homomorphismextensions of measures

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05)

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Cites Work

• Extending isometrically invariant measures on \(R^ n\) -- a solution to Ciesielski's query
• A non-separable translation invariant extension of the Lebesgue measure space
• Construction of a non-separable invariant extension of the Lebesgue measure space
• Extensions of invariant measures on Euclidean spaces
• Invariant extensions of the Haar measure
• On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions
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