Transformation Groups And Invariant Measures: Set-theoretical Aspects, PDF eBook

Transformation Groups And Invariant Measures: Set-theoretical Aspects PDF

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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.

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