  A hyperbolic set on a compact manifold M, satisfies the property: given two
of your any points p and q, such that for all positive \epsilon>0, there is a
trajectory in the hyperbolic set from a point \epsilon-close to p to a point
\epsilon-close to q, then there is a point in M whose \alpha-limit is that of p
and whose \omega-limit is that of q. Bautista and Morales give a version of
this property, for sectional-Anosov flows (vector fields whose maximal
invariant set is sectional-hyperbolic), including some conditions; among them
that limit the dimension of M to three. In this paper, we prove a
generalization of this result, for sectional-hyperbolic sets of codimension one
in high dimensions.
