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This article is cited in 3 scientific papers (total in 3 papers)
Uniform structures and the equivalence of diffeomorphisms
A. G. Vainshtein, L. M. Lerman Scientific-Research Institute of Mathematics and Cybernetics, Gorki State University
Abstract:
A new equivalence relation between diffeomorphisms of a compact manifold, viz., $\delta$-equivalence, is defined on the basis of concepts in uniform topology. The $\delta$-equivalence classes of the identity map, the $Y$-diffeomorphisms of infra-nullmanifolds, and the connection between $\delta$-equivalence and topological entropy are studied. The proofs make use of an effective description of the uniform-homotopy type of the “nonautonomous suspensions over diffeomorphisms” described in the paper. The connection between diffeomorphisms and non-autonomous flows is considered; moreover, the nonhomotopy of the $Y$-diffeomorphism of the identity map is proved.
Received: 07.07.1976
Citation:
A. G. Vainshtein, L. M. Lerman, “Uniform structures and the equivalence of diffeomorphisms”, Mat. Zametki, 23:5 (1978), 739–752; Math. Notes, 23:5 (1978), 407–414
Linking options:
https://www.mathnet.ru/eng/mzm10003 https://www.mathnet.ru/eng/mzm/v23/i5/p739
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Abstract page: | 130 | Full-text PDF : | 66 | First page: | 2 |
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