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- W2034996631 abstract "Let B be a linearly ordered set, which is compact and metrizable with respect to the order topology, and 𝒵 a finite partition of B into clopen intervals. Let f : B → B be a continuous map, such that f| Z is monotone and f(Z) is an interval for all Z ∈ 𝒵. Let I be the interval [0,1] and X = B × I. By a ‘piecewise bimonotone skew product map’ driven by the base map f we mean a skew product map from X to X such that the fibre maps g x are continuous piecewise monotone and are the same for all x belonging to the same Z ∈ 𝒵. We prove that the topological entropy of a piecewise bimonotone skew product map is given by horseshoes and is lower semicontinuous, provided it is larger than the entropy of the base map f and the entropies in the fibres." @default.
- W2034996631 created "2016-06-24" @default.
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- W2034996631 date "2009-01-01" @default.
- W2034996631 modified "2023-09-25" @default.
- W2034996631 title "Topological entropy of piecewise bimonotone skew products" @default.
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- W2034996631 doi "https://doi.org/10.1080/10236190802385371" @default.
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