Bulletin of the
Korean Mathematical Society BKMS

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 $f\mapsto \text{chain recurrent}$ $\text{set of}\, f$ 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

MSC numbers: 37B20, 54H20