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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 entries.
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Romen V Plykin (1971) studied this question.
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