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 .