Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions

Alexander Kharazishvili

ISBN 10: 3031170326 / ISBN 13: 9783031170324

Edité par Springer International Publishing, 2022

A propos de cet article

Zustand: Hervorragend | Seiten: 268 | Sprache: Englisch | Produktart: Bücher.

N° de réf. du vendeur 40530158/1

Détails bibliographiques

• Titre: Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions
• Éditeur: Springer International Publishing
• Date de parution: 2022
• Langue: anglais
• ISBN à 10 chiffres: 3031170326
• ISBN à 13 chiffres: 9783031170324
• Reliure: Couverture rigide
• État de l'article: Hervorragend

A propos de ce titre

Synopsis

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.

À propos de l?auteur

Alexander Kharazishvili is a Professor of Mathematics at I. Chavachavadze Tibilisi State University in Georgia. An expert in classical Real Analysis in the tradition of the Lusin school, he is the author of the well known monograph Strange Functions in Real Analysis.