Transformation groups and invariant measures : set-theoretical aspects

著者

• Kharazishvili, A. B.

書誌事項

Transformation groups and invariant measures : set-theoretical aspects

A B Kharazishvili

World scientific, c1998

注記

Includes bibliographical references (p. 243-252) and index

内容説明・目次

内容説明

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.

目次

• 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.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA38617936
• ISBN:
  • 9810234929
• 出版国コード: si
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Singapore
• ページ数/冊数: viii, 260 p.
• 大きさ: 23 cm