Transformation groups and invariant measures: set-theoretical aspects/

Kharazishvili, A. B.

Transformation groups and invariant measures: set-theoretical aspects/ A.B. Kharazishvili. - Singapore: River Edge, NJ: World Scientific, c1998. - viii, 260 p.; 23 cm.

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

Introduction : preliminary facts -- Some properties of transformation groups -- Quasiinvariant and invariant measures -- Some examples and constructions -- Nonmeasurable sets with respect to quasiinvariant and invariant measures -- Small sets with respect to quasiinvariant measures -- Almost invariant sets -- Some invariant [s]-ideals and [s]-algebras -- Density points and invariant extentions of Lebesgue measure -- The uniqueness of Lebesgue and Borel measures -- Quasiinvariant Borel measures on standard groups .

9810234929


Transformation groups.
Invariants.
Measure theory.

515 / K45t
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