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Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2009, Volume 9, Issue 3, Pages 27–33
DOI: https://doi.org/10.18500/1816-9791-2009-9-3-27-33 (Mi isu56) 		 
Mathematics

Obstructions to embedding of matrix algebra bundles into a trivial one

A. V. Ershov

Saratov State University, Chair of Geometry
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DOI: https://doi.org/10.18500/1816-9791-2009-9-3-27-33
Abstract: Topological obstructions to embedding of an $M_k(\mathbb C)$-bundle into a trivial $M_{kl}(\mathbb C)$-bundle under the condition $(k,l)=1$ are studied. The relation of this problem to the theory of bundles with a structure groupoid is described.
Key words: bundle, topological obstruction, characteristic class, groupoid.
Document Type: Article
UDC: 515.14
Language: Russian
Citation: A. V. Ershov, “Obstructions to embedding of matrix algebra bundles into a trivial one”, Izv. Saratov Univ. Math. Mech. Inform., 9:3 (2009), 27–33
Citation in format AMSBIB
\Bibitem{Ers09}
\by A.~V.~Ershov
\paper Obstructions to embedding of matrix algebra bundles into a~trivial one
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2009
\vol 9
\issue 3
\pages 27--33
\mathnet{http://mi.mathnet.ru/isu56}
\crossref{https://doi.org/10.18500/1816-9791-2009-9-3-27-33}
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