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Rigidity of centralizers of real analytic diffeomorphisms
Published online by Cambridge University Press: 19 September 2008
Abstract
We define a topology, denoted by Cω, on the space of real analytic diffeomorphisms and show that the elements of a residual (Baire second category) subset of diffeomorphisms that satisfy Axiom A and the Transversality Condition have a trivial centralizer; they only commute with their integer powers.
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- Copyright © Cambridge University Press 1993
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