Realizing Full N-shifts in Simple Smale Flows
نویسندگان
چکیده
Smale flows on 3-manifolds can have invariant saddle sets that are suspensions of shifts of finite type. We look at Smale flows with chain recurrent sets consisting of an attracting closed orbit a, a repelling closed orbit r and a saddle set that is a suspension of a full n-shift and draw some conclusions about the knotting and linking of a ∪ r. For example, we show for all values of n it is possible for a and r to be unknots. For any even value of n it is possible for a ∪ r to be the Hopf link, a trefoil and meridian, or a figure-8 knot and meridian.
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