Topological Entropy of Free Semigroup Actions and Skew-Product Transformations
Author: Bufetov A.1, 2
Source: Journal of Dynamical and Control Systems, Volume 05, Number 1, January 1999 , pp. 137-143(7)
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 AbramovRokhlin formula.
Document Type: Research article
Publication date: 1999-01-01