Abstract
The main result we prove in this paper is that for any finite dimensional dynamical system (with topological entropyh), and for any factor with strictly lower entropyh′, there exists an intermediate factor of entropyh″ for everyh″∈[h′, h]. Two examples, one of them minimal, show that this is not the case for infinite dimensional systems.
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Lindenstrauss, E. Lowering topological entropy. J. Anal. Math. 67, 231–267 (1995). https://doi.org/10.1007/BF02787792
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DOI: https://doi.org/10.1007/BF02787792