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Journal of Dynamical and Control Systems

, Volume 5, Issue 1, pp 137–143 | Cite as

Topological Entropy of Free Semigroup Actions and Skew-Product Transformations

  • A. Bufetov
Article

Abstract

A definition of topological entropy for a free semigroup action is suggested. Suppose that a free semigroup acts on a compact metric space by continuous self-maps. To this action, we assign a skew-product transformation whose fiber entropy is taken to be the entropy of the initial action. The main result is Theorem 1, a topological analogue of the Abramov–Rokhlin formula.

Topological entropy free semigroup actions skew-product transformations 

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Copyright information

© Plenum Publishing Corporation 1999

Authors and Affiliations

  • A. Bufetov
    • 1
  1. 1.Independent University of MoscowMoscowRussia

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