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math.DS2012
Topological isomorphism for rank-1 systems
Su Gao, Aaron Hill
We define the Polish space of non-degenerate rank-1 systems. Each non-degenerate rank-1 system can be viewed as a measure-preserving transformation of an atomless, $σ…
math.DS2012★ 1 cited
Centralizers of rank-1 homeomorphisms
Aaron Hill
We give a definition for a rank-1 homeomorphism of a zero-dimensional Polish space X. We show that if a rank-1 homeomorphism of X satisfies a certain non-degeneracy condition, then…