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A lemma from measure theory

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Literature cited

  1. D. V. Anosov and Ya. G. Sinai, Some ergodic smooth systems, Uspekhi Matem. Nauk,22, No. 5 (1967), pp. 107–172.

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  2. V. A. Rokhlin, On the fundamental concepts of measure theory, Matem. Sb.,25, No. 1 (1945), pp. 107–150.

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  3. P. Halmos, Measure Theory [Russian translation], Moscow (1958).

  4. A. N. Kolmogorov and S. V. Fomin, Elements of the theory of functions and functional analysis [in Russian],2, Measure, Lebesgue Integral, Hilbert Space, Moscow (1960).

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, USSR

    Ya. G. Sinai

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  1. Ya. G. Sinai
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Additional information

Translated from Matematicheskie Zametki, Vol. 2, No. 4, pp. 373–378, October, 1967.

The author thanks D. V. Anosov for help in formulating the Lemma and in writing its proof.

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Sinai, Y.G. A lemma from measure theory. Mathematical Notes of the Academy of Sciences of the USSR 2, 715–718 (1967). https://doi.org/10.1007/BF01093647

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  • DOI: https://doi.org/10.1007/BF01093647

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