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To Millionshchikov’s Problem on the Baire Class of Central Exponents of Diffeomorphisms

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Abstract

It is shown that central exponents of a local diffeomorpliism of a Riemannian manifold treated as functions on the direct product of the manifold and the space of its local diffeomorphisms with C1-compact-open topology belong to the fourth Baire class.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    V. V. Bykov

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

Additional information

Russian Text © The Author(s), 2019, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2019, Vol. 74, No. 5, pp. 17–22.

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Bykov, V.V. To Millionshchikov’s Problem on the Baire Class of Central Exponents of Diffeomorphisms. Moscow Univ. Math. Bull. 74, 189–194 (2019). https://doi.org/10.3103/S0027132219050036

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  • DOI: https://doi.org/10.3103/S0027132219050036

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