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Article Contents

# Discrete orbits in topologically transitive cylindrical transformations

• In this paper we provide a few recipes how to construct a topologically transitive cocycle over an arbitrary odometer possessing discrete orbits. It is shown that for every odometer, there exists a topologically transitive cocycle such that the set of points with discrete orbits starting form zero level has the cardinality of the continuum.
Mathematics Subject Classification: 54H20.

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