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Centralizers of rank-one homeomorphisms
Published online by Cambridge University Press: 03 December 2012
Abstract
We give a definition for a rank-one homeomorphism of a zero-dimensional Polish space X. We show that if a rank-one 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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- ©2012 Cambridge University Press
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