Transformation Groups And Invariant Measures: Set-theoretical Aspects
Seiten
1998
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3492-8 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-02-3492-8 (ISBN)
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A work on topics of the general theory of invariant and quasi-invariant measures. The main goal of the book is to investigate several aspects of relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures.
This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various σ-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.
This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various σ-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.
Some properties of transformation groups; quasi-invariant and invariant measures; some examples and constructions; nonmeasurable sets with respect to quasi-invariant and invariant measures; small sets with respect to quasi-invariant measures; almost invariant sets; some invariant sigma-ideals and sigma-algebras; density points and invariant extensions of Lebesgue measure; the uniqueness of Lebesgue and Borel measures; quasi-invariant Borel measures on standard groups.
| Verlagsort | Singapore |
|---|---|
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre | |
| ISBN-10 | 981-02-3492-9 / 9810234929 |
| ISBN-13 | 978-981-02-3492-8 / 9789810234928 |
| Zustand | Neuware |
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