Mean dimension, small entropy factors and an embedding theorem
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.
KeywordsPeriodic Point Open Cover Topological Entropy Inverse Limit Minimal System
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© Publications Mathematiques de L’I.H.E.S. 1999