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Set Theoretic Real Analysis
-
K. Ciesielski
Veröffentlicht/Copyright:
4. Juni 2010
Abstract
This article is a survey of the recent results that concern real functions (from 
into ℝ) and whose solutions or statements involve the use of set theory. The choice of the topics follows the author's personal interest in the subject, and there are probably some important results in this area that did not make it to this survey. Most of the results presented here are left without proofs.
Key words and phrases.: Fubini theorem; continuous images; continuous restrictions; Continuum Hypothesis; Martin's Axiom; Blumberg Theorem; symmetric continuity; Peano curve; Darboux functions; cardinal functions; addition of functions; derivatives; extensions of measure
Received: 1997-02-25
Revised: 1997-09-08
Published Online: 2010-06-04
Published in Print: 1997-December
©Heldermann Verlag
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Artikel in diesem Heft
- Set Theoretic Real Analysis
- On Ciesielski's Problems
- Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
- The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
- Minimax Inequality of Ky Fan Type in H-Spaces with Applications
- Existence of Equilibria in Finitely Additive Nonatomic Coalition Production Economies
- An Adaptive Parallel Projection Method for Solving Convex Feasibility Problems
Schlagwörter für diesen Artikel
Fubini theorem;
continuous images;
continuous restrictions;
Continuum Hypothesis;
Martin's Axiom;
Blumberg Theorem;
symmetric continuity;
Peano curve;
Darboux functions;
cardinal functions;
addition of functions;
derivatives;
extensions of measure
Artikel in diesem Heft
- Set Theoretic Real Analysis
- On Ciesielski's Problems
- Sup-Measurable and Weakly Sup-Measurable Mappings in the Theory of Ordinary Differential Equations
- The Gradient Method for Non–Differentiable Operators in Product Hilbert Spaces and Applications to Elliptic Systems of Quasilinear Differential Equations
- Minimax Inequality of Ky Fan Type in H-Spaces with Applications
- Existence of Equilibria in Finitely Additive Nonatomic Coalition Production Economies
- An Adaptive Parallel Projection Method for Solving Convex Feasibility Problems
