Geodesic
Uniform structures and the equivalence of diffeomorphisms
Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 739-752 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {A. G. Vainshtein and L. M. Lerman},
     title = {Uniform structures and the equivalence of diffeomorphisms},
     journal = {Matemati\v{c}eskie zametki},
     pages = {739--752},
     year = {1978},
     volume = {23},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a10/}
}
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A. G. Vainshtein; L. M. Lerman. Uniform structures and the equivalence of diffeomorphisms. Matematičeskie zametki, Tome 23 (1978) no. 5, pp. 739-752. http://geodesic.mathdoc.fr/item/MZM_1978_23_5_a10/