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Lobachevskii Journal of Mathematics, 2007, Volume 26, Pages 107–123 (Mi ljm31)  

Product preserving bundle functors on multifibered and multifoliate manifolds

V. V. Shurygin (Jr.)

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
References:
Abstract: We show that the set of the equivalence classes of multifoliate structures is in one-to-one correspondence with the set of equivalence classes of finite complete projective systems of vector space epimorphisms. After that we give the complete description of all product preserving bundle functors on the categories of multifibered and multifoliate manifolds.
Keywords: product preserving bundle functors, multifoliate structures, projective systems.
Submitted by: M. A. Malakhaltsev
Received: 24.05.2007
Language: English
Citation: V. V. Shurygin (Jr.), “Product preserving bundle functors on multifibered and multifoliate manifolds”, Lobachevskii J. Math., 26 (2007), 107–123
Citation in format AMSBIB
\Bibitem{Shu07}
\by V.~V.~Shurygin (Jr.)
\paper Product preserving bundle functors on multifibered and multifoliate manifolds
\jour Lobachevskii J. Math.
\yr 2007
\vol 26
\pages 107--123
\mathnet{http://mi.mathnet.ru/ljm31}
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