Geodesic
Regular components of homeomorphisms of the $n$-dimensional sphere
Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 1-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the structure of the regular components of homeomorphisms of the $n$-dimensional sphere is studied. Results are obtained which turn out to describe the possible types of regular components, and which generalize to dimensions $n\geqslant3$ the results of Birkhoff and Smith in dimension $2$. As applications we describe the regular components of structurally stable diffeomorphisms of $S^n$ with a finite number of periodic points and the connected components of orbitally stable trajectories of a structurally stable dynamical system on $S^n$ with a finite number of closed trajectories. Bibliography: 6 titles. 
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S. Kh. Aranson; V. S. Medvedev. Regular components of homeomorphisms of the $n$-dimensional sphere. Sbornik. Mathematics, Tome 14 (1971) no. 1, pp. 1-14. http://geodesic.mathdoc.fr/item/SM_1971_14_1_a0/

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