Article
Licensed
Unlicensed
Requires Authentication
Measures in Locally Compact Groups are Carried by Meager Sets
-
P. Zakrzewski
Published/Copyright:
June 7, 2010
Abstract
We show that for a σ-finite diffused Borel measure in a nondiscrete locally bounded topological group there is a meager set whose complement is of measure zero.
Received: 2000-11-27
Revised: 2001-06-19
Published Online: 2010-06-07
Published in Print: 2001-December
© Heldermann Verlag
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Exceptional Sets for Universally Polygonally Approximable Functions
- Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems
- The Nevanlinna Theorem of the Classical Theory of Moments Revisited
- Measures in Locally Compact Groups are Carried by Meager Sets
- On Sequences of Upper and Lower Semi-Quasicontinuous Functions
- Compositions of Sierpiński-Zygmund Functions and Related Combinatorial Cardinals
- Gradient-Finite Element Method for Nonlinear Neumann Problems
- On Sets Determined by Sequences of Quasi-Continuous Functions
- On Minimal Pairwise Sufficient Statistics
Keywords for this article
Borel measure;
residual measure;
meager set;
topological group
Articles in the same Issue
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Exceptional Sets for Universally Polygonally Approximable Functions
- Some Remarks on Nonuniqueness of Minimizers for Discrete Minimization Problems
- The Nevanlinna Theorem of the Classical Theory of Moments Revisited
- Measures in Locally Compact Groups are Carried by Meager Sets
- On Sequences of Upper and Lower Semi-Quasicontinuous Functions
- Compositions of Sierpiński-Zygmund Functions and Related Combinatorial Cardinals
- Gradient-Finite Element Method for Nonlinear Neumann Problems
- On Sets Determined by Sequences of Quasi-Continuous Functions
- On Minimal Pairwise Sufficient Statistics