Centralizers of rank-1 homeomorphisms

Aaron Hill

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arXiv · 1202.2066

Centralizers of rank-1 homeomorphisms

Aaron Hill

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Abstract

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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Aaron Hill. 2012-02-09. Centralizers of rank-1 homeomorphisms. https://arxiv.org/abs/1202.2066

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