Centralizers of rank-1 homeomorphisms
classification
🧮 math.DS
math.LO
keywords
rank-1homeomorphismhomeomorphismscentralizercentralizerscertaincommutescondition
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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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