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A remark on the Millionshchikov problem on the central exponents of diffeomorphisms

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Abstract

We prove that all central exponents of a diffeomorphism of a smooth manifold belong to the fourth Baire class.

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References

  1. Hirsch, M., Differential Topology, New York-Heidelberg: Springer-Verlag, 1976. Translated under the title Differentsial’naya topologiya, Moscow, 1979.

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  2. Millionshchikov, V.M., Unsolved Problem on Central Exponents, Differ. Uravn., 1988, vol. 24, no. 12, pp. 2184–2185.

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  3. Hausdorff, F., Mengenlehre, Berlin, 1927. Translated under the title Teoriya mnozhestv, Moscow, 2007.

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  4. Millionshchikov, V.M., On Baire Classes of Central Exponents, Differ. Uravn., 1989, vol. 25, no. 12, p. 2190.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    V. V. Bykov

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  1. V. V. Bykov
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Correspondence to V. V. Bykov.

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Original Russian Text © V.V. Bykov, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 11, p. 1553.

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Bykov, V.V. A remark on the Millionshchikov problem on the central exponents of diffeomorphisms. Diff Equat 50, 1553–1554 (2014). https://doi.org/10.1134/S0012266114110147

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  • DOI: https://doi.org/10.1134/S0012266114110147

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