The topology of basis sets for Smale diffeomorphisms
Sbornik. Mathematics, Tome 13 (1971) no. 2, pp. 297-307

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Diffeomorphisms of a closed surface are considered which satisfy Smale's axiom $A$ and an acyclicity condition. It is shown that if one of its basis sets is one-dimensional, then there is also a zero-dimensional source or sink. As a preliminary, some auxiliary propositions of general character are established concerning sources and sinks of diffeomorphisms satisfying the axiom and the condition above. Bibliography: 10 titles.
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     author = {R. V. Plykin},
     title = {The topology of basis sets for {Smale} diffeomorphisms},
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R. V. Plykin. The topology of basis sets for Smale diffeomorphisms. Sbornik. Mathematics, Tome 13 (1971) no. 2, pp. 297-307. http://geodesic.mathdoc.fr/item/SM_1971_13_2_a6/