Israel Journal of Mathematics

, Volume 115, Issue 1, pp 1–24 | Cite as

Mean topological dimension

  • Elon LindenstraussEmail author
  • Benjamin Weiss


In this paper we present some results and applications of a new invariant for dynamical systems that can be viewed as a dynamical analogue of topological dimension. This invariant has been introduced by M. Gromov, and enables one to assign a meaningful quantity to dynamical systems of infinite topological dimension and entropy. We also develop an alternative approach that is metric dependent and is intimately related to topological entropy.


Topological Dimension Open Cover Finite Subset Amenable Group Topological Entropy 
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Copyright information

© Hebrew University 2000

Authors and Affiliations

  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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