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arXiv · 0909.0192

On real extensions of distal minimal homeomorphisms

Gernot Greschonig
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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.

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Gernot Greschonig. 2009-09-27. On real extensions of distal minimal homeomorphisms. https://arxiv.org/abs/0909.0192

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