Mean dimension, small entropy factors and an embedding theorem

  • Elon Lindenstrauss


In this paper we show how the notion of mean dimension is connected in a natural way to the following two questions: what points in a dynamical system (X, T) can be distinguished by factors with arbitrarily small topological entropy, and when can a system (X, T) be embedded in (([0, 1] d ) Z , shift). Our results apply to extensions of minimalZ-actions, and for this case we also show that there is a very satisfying dimension theory for mean dimension.


Periodic Point Open Cover Topological Entropy Inverse Limit Minimal System 
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Copyright information

© Publications Mathematiques de L’I.H.E.S. 1999

Authors and Affiliations

  • Elon Lindenstrauss
    • 1
  1. 1.Institute of Mathematicsthe Hebrew UniversityJerusalemIsrael

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