Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 5, Pages 17–22 (Mi vmumm3621)  
Mathematics

To Millionshchikov's problem on the baire class of central exponents of diffeomorphisms

V. V. Bykov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
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Abstract: It is shown that central exponents of a local diffeomorphism of a Riemannian manifold treated as functions on the direct product of the manifold and the space of its local diffeomorphisms with $C^1$-compact-open topology belong to the fourth Baire class.
Key words: central exponents, compact-open topology, Baire classes.
Received: 14.03.2019
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 5, Pages 189–194
DOI: https://doi.org/10.3103/S0027132219050036
Bibliographic databases:
Document Type: Article
UDC: 517.926.4
Language: Russian
Citation: V. V. Bykov, “To Millionshchikov's problem on the baire class of central exponents of diffeomorphisms”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 5, 17–22; Moscow University Mathematics Bulletin, 74:5 (2019), 189–194
Citation in format AMSBIB
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