On the topological entropy of continuous and almost continuous functions |
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Authors: | Ryszard J. Pawlak Anna Loranty Anna B?kowska |
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Affiliation: | Faculty of Mathematics and Computer Science, ?ód? University, Banacha 22, 90-238 ?ód?, Poland |
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Abstract: | We prove some results concerning the entropy of continuous and almost continuous functions. We first introduce the notions of bundle entropy and (strong) entropy points and then we study properties of these notions in connection with the theory of multifunctions. Based on these facts we give theorems about approximation of functions defined and assuming their values on compact manifold by functions having strong entropy points. |
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Keywords: | 54C70 54C35 37B40 54C60 54C65 |
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