Abstract
We say that a diffeomorphism f : Mn → Mn embeds in a topological (smooth) flow if there exists a topological (smooth) flow Xt on Mn such that f is the time-one map of Xt. It follows from results of the papers [1] and [2], in which the structural stability of Morse–Smale diffeomorphisms was proved, that, for any manifold Mn, there exists an open (in Diff(Mn)) set of Morse–Smale diffeomorphisms embeddable in a topological flow. In [1], Palis proved the following necessary condition for a Morse– Smale diffeomorphism f to embed in a topological flow:
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