| A Note on Topological Entropy of Maps |
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| 引用本文： | 曾凡平. A Note on Topological Entropy of Maps[J]. 东北数学, 1997, 0(4) |
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| 作者姓名： | 曾凡平 |
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| 作者单位： | Institute of |
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| 摘 要： | For a given collection of subsets of a compact metric space X which cover X,the entropies,hm(f)and hi(f),are introduced for a continuous map f of X to itseif. Also the concept of shadowing property with same end point (SPSEP for short) is introduced. The main results are,(1)H(f)≤hi(f)+hm(f)and,(2)h(f)=hm(f)whenever f has SPSEP,where h(f) is the topological entropy of f. Moreover,several corollaries are obtained.
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A Note on Topological Entropy of Maps |
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| Zeng Fanping. A Note on Topological Entropy of Maps[J]. Northeastern Mathematical Journal, 1997, 0(4) |
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| Authors: | Zeng Fanping |
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| Abstract: | |
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| Keywords: | Topological Entropy Hausdorff Metric Topological Conjugacy Shadowing Property. |
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