Centralizers of rank-1 homeomorphisms

Details Centralizers of rank-1 homeomorphisms Centralizers of rank-1 homeomorphisms

2012-02-09

arxiv.org/abs/1202.2066v1

Mathematics

Dynamical Systems

Scientific paper

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 it has trivial centralizer in the group of all
homeomorphisms of X, i.e., it commutes only with its integral powers.

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