On real extensions of distal minimal homeomorphisms.

link: http://arxiv.org/abs/0909.0192
Abstract

We prove a structure theorem for topologically conservative real skew product
extensions of distal minimal compact metric $\Z$-flows. The main result states
that every such extension can be represented by a perturbation of a Rokhlin
skew product. Moreover, we give certain counterexamples to point out that all
components of the construction are in fact inevitable.