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- Author: Alexander Kharazishvili
- Publisher: Springer
- ISBN-10: 3031170326
- ISBN-13: 9783031170324
- Format: 15.6 x 23.4 x 1.6 cm, hardcover
- Language: English
- SAVE -10% with code: EXTRA
Notes on Real Analysis and Measure Theory (e-book) (used book) | bookbook.eu
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Preface.- 1. Real-Valued Semicontinuous Functions.- 2. The Oscillations of Real-Valued Functions.- 3. Monotone and Continuous Restrictions of Real-Valued Functions.- 4. Bijective Continuous Images of Absolute Null Sets.- 5. Projective Absolutely Nonmeasurable Functions.- 6. Borel Isomorphisms of Analytic Sets.- 7. Iterated Integrals of Real-Valued Functions of Two Real Variables.- 8. The Steinhaus Property, Ergocidity, and Density Points.- 9. Measurability Properties of H-Selectors and Partial H-Selectors.- 10. A Decomposition of an Uncountable Solvable Group into Three Negligible Sets.- 11. Negligible Sets Versus Absolutely Nonmeasurable Sets.- 12. Measurability Properties of Mazurkiewicz Sets.- 13. Extensions of Invariant Measures on R.- A. A Characterization of Uncountable Sets in Terms of their Self-Mappings.- B. Some Applications of Peano Type Functions.- C. Almost Rigid Mathematical Structures.- D. Some Unsolved Problems in Measure Theory.- Bibliography.- Index.
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- Author: Alexander Kharazishvili
- Publisher: Springer
- ISBN-10: 3031170326
- ISBN-13: 9783031170324
- Format: 15.6 x 23.4 x 1.6 cm, hardcover
- Language: English English
Preface.- 1. Real-Valued Semicontinuous Functions.- 2. The Oscillations of Real-Valued Functions.- 3. Monotone and Continuous Restrictions of Real-Valued Functions.- 4. Bijective Continuous Images of Absolute Null Sets.- 5. Projective Absolutely Nonmeasurable Functions.- 6. Borel Isomorphisms of Analytic Sets.- 7. Iterated Integrals of Real-Valued Functions of Two Real Variables.- 8. The Steinhaus Property, Ergocidity, and Density Points.- 9. Measurability Properties of H-Selectors and Partial H-Selectors.- 10. A Decomposition of an Uncountable Solvable Group into Three Negligible Sets.- 11. Negligible Sets Versus Absolutely Nonmeasurable Sets.- 12. Measurability Properties of Mazurkiewicz Sets.- 13. Extensions of Invariant Measures on R.- A. A Characterization of Uncountable Sets in Terms of their Self-Mappings.- B. Some Applications of Peano Type Functions.- C. Almost Rigid Mathematical Structures.- D. Some Unsolved Problems in Measure Theory.- Bibliography.- Index.
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