Uniqueness results for groups of measure preserving transformations
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- by Robert R. Kallman PDF
- Proc. Amer. Math. Soc. 95 (1985), 87-90 Request permission
Abstract:
Let $G$ be the group of measurable, invertible, measure preserving transformations either of the unit inverval or of the line. Then $G$ has a unique topology in which it is a complete separable metric group.References
- Robert J. Aumann, Random measure preserving transformations, Proc. Fifth Berkeley Sympos. Math. Statist. and Probability (Berkeley, Calif., 1965/66) Univ. California Press, Berkeley, Calif., 1967, pp. 321–326. MR 0222247
- K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
- George W. Mackey, Borel structure in groups and their duals, Trans. Amer. Math. Soc. 85 (1957), 134–165. MR 89999, DOI 10.1090/S0002-9947-1957-0089999-2
Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 95 (1985), 87-90
- MSC: Primary 28D15; Secondary 22A05
- DOI: https://doi.org/10.1090/S0002-9939-1985-0796452-X
- MathSciNet review: 796452