Abstract
It is well known that a considerable part of the metric theory of dynamical systems may be developed as an abstract theory of “flows” {S t} on “Lebesgue spaces” M with measure μ in terms invariant with respect to “isomorphisms modulo zero” (see V.A. Rokhlin’s survey [1], whose definitions and notations are used extensively here).
Dokl. Akad. Nauk SSSR, 1958, vo1.119, No.5, p. 861–864.
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Shiryayev, A.N. (1993). New Metric Invariant of Transitive Dynamical Systems and Automorphisms of Lebesgue Spaces. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2973-4_5
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