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Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva, 2010, Volume 12, Number 2, Pages 7–13
(Mi svmo74)
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This article is cited in 2 scientific papers (total in 2 papers)
On structure of 3-manifold which allow A-diffeomorphism with
two-dimensional surface nonwandering set
V. Z. Grinesa, Yu. A. Levchenkoa, V. S. Medvedevb a Nizhnii Novgorod State Agricultural Academy
b Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Abstract:
We consider a class of diffeomorphism satisfying to S.Smale
Axiom $A$ given on $3$-manifold $M^3$ on suggestion that nonwandering set
of diffeomorphisms consists of connected two-dimensional surface attractor and
repellors. We establish that $M^3$ is a locally-trivial foliation under
the circle with leaves homeomorphic to the torus.
Keywords:
A-diffeomorphism, attractor,
repeller, nonwandering set.
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Abstract page: | 116 | References: | 36 |
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