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A Dynamical Decomposition Theorem
Authors:J. M. Aarts  R. J. Fokkink  J. Vermeer
Affiliation:12. Faculty of Mathematics and Informatics, Technical University Delft, P.O.BOX 5031, 2600 GA, Delft, The Netherlands
Abstract:By the decomposition theorem dim Xn if and only if X admits a decomposition into n+1 zero-dimensional subspaces Z i for i = 0,... n. If f: XX is a homeomorphism, then under some dimensional restrictions on the set of periodic points, the Z i can be chosen to be images of Z 0 under iterates of f.
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