Family of Dynamical Systems Whose Topological Entropy Is Nowhere Upper Semicontinuous


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We construct a continuous family of continuous mappings of a compact metric space such that the topological entropy of these mappings as a function of the parameter is nowhere upper semicontinuous.

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A. Vetokhin

Lomonosov Moscow State University; Bauman Moscow State Technical University

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Email: anveto27@yandex.ru
俄罗斯联邦, Moscow, 119992; Moscow, 105005

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