On the set of continuity of topological entropy families of segment mappings depending on the parameter
Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 3, pp. 42-50

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Families of continuous mappings of the interval continuously depending on a parameter are considered. Any $G_\delta$ set dense in the parameter space is realized as the set of continuity of topological entropy for a suitable family of continuous mappings.
Keywords: dynamical system, topological entropy.
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     author = {A. N. Vetokhin},
     title = {On the set of continuity of topological entropy families of segment mappings depending on the parameter},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {42--50},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2021_55_3_a2/}
}
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A. N. Vetokhin. On the set of continuity of topological entropy families of segment mappings depending on the parameter. Funkcionalʹnyj analiz i ego priloženiâ, Tome 55 (2021) no. 3, pp. 42-50. http://geodesic.mathdoc.fr/item/FAA_2021_55_3_a2/