# CHARACTERIZATIONS ON CHAIN RECURRENCES

• Published : 2010.03.31
• 56 5

#### Abstract

It is well known that there is a residual subset J of the space of $C^1$-diffeomorphisms on a compact Riemannian manifold M such that the maps f $\mapsto$ chain recurrent set of f and f $\mapsto$ number of chain components of f are continuous on J. In this paper we get the flow version of the above results on diffeomorphisms.

#### Keywords

chain recurrence;residual set;flow

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