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On Absolutely Negligible Sets in Uncountable Solvable Groups
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Alexander Kharazishvili
Veröffentlicht/Copyright:
10. März 2010
Abstract
Absolutely negligible sets in uncountable groups are considered in connection with the measure extension problem (for σ-finite invariant or quasi-invariant measures). In particular, it is proved that, for any uncountable solvable group (𝐺, ·), there exists a countable covering of 𝐺 consisting of 𝐺-absolutely negligible sets.
Key words and phrases:: Solvable group; invariant measure; quasi-invariant measure; absolutely negligible set; Sierpiński's problem
Received: 2004-02-25
Published Online: 2010-03-10
Published in Print: 2005-June
© Heldermann Verlag
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Schlagwörter für diesen Artikel
Solvable group;
invariant measure;
quasi-invariant measure;
absolutely negligible set;
Sierpiński's problem
Artikel in diesem Heft
- Quadric Hypersurfaces Containing a Projectively Normal Curve
- Gelfand Pairs and Generalized d'Alembert's and Cauchy's Functional Equations
- Some Approximation Properties for Modified Baskakov Type Operators
- On a Boundary Value Problem for 𝑛-th Order Linear Functional Differential Systems
- Functional Differential Inequalities with Unbounded Delay
- On Absolutely Negligible Sets in Uncountable Solvable Groups
- Disturbance Due to a Time Harmonic Source in Orthotropic Micropolar Viscoelastic Medium
- Semi-Slant Submanifolds of a Locally Product Manifold
- Boundary Regularity for Capillary Surfaces
- Boundedness for Multilinear Singular Integral Operators on Some Hardy and Herz Type Spaces
- Arcwise Connected Continua and Whitney Maps
- On the Fourier Multipliers of the Space 𝐿𝑝
- Some Remarks Concerning Jones Eigenfrequencies and Jones Modes
- On the Strong Differentiation of Multiple Integrals along Different Frames
- On the Asymptotic Behaviour of Solutions of Third Order Delay Differential Equations
- Mapping Properties of Integral Operators of Levy Type