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On Analogues of Some Classical Subsets of the Real Line
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A. B. Kharazishvili
Published/Copyright:
June 4, 2010
Abstract
A theorem on the existence of separable supports of σ-finite Borel measures given on metric spaces with small topological weights is applied to constructions of certain analogues of special subsets of the real line.
Key words and phrases.: Separable support of a measure; Luzin set; Sierpiński set; universal measure zero space
Received: 1998-12-17
Revised: 1999-09-22
Published Online: 2010-06-04
Published in Print: 2000-June
© Heldermann Verlag
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Keywords for this article
Separable support of a measure;
Luzin set;
Sierpiński set;
universal measure zero space
Articles in the same Issue
- Feynman's Path Integrals and Henstock's Non-Absolute Integration
- Universally Polygonally Approximable Functions
- Differential Calculus for Complex-Valued Multifunctions
- On Analogues of Some Classical Subsets of the Real Line
- Oscillation Criteria of Comparison Type for Second Order Difference Equations
- On the Convergence of the Method of Lines for Quasi–Nonlinear Functional Evolutions in Banach Spaces
- Bounded Solutions for Nonlinear Elliptic Equations in Unbounded Domains
- A Characterization of Strict Local Minimizers of Order One for Static Minmax Problems in the Parametric Constraint Case
- On Linear Dependence of Iterates
