Chaos in Topological Foliations

We call a foliation (M,F) on manifold M chaotic if it is topologically transitive and the union of closed leaves dense in M. A foliated not assumed to be compact. The foliations can considered as multidimensional generalization dynamical systems sense Devaney. For covered by fibrations we prove that only its global holonomy group chaotic. introduce concept integrable Ehresmann connection for natural smooth foliations. description structure with criterion behavior such are obtained. Applying method suspension, new countable family pairwise nonisomorphic codimension two 3-dimensional nonclosed manifolds constructed.