CHARACTERIZATIONS ON CHAIN RECURRENCES

Abstract

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