Geodesic
Completion theorem for uniform entropy
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 389-399

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Modifying Bowen's entropy, we introduce a new uniform entropy. We prove that the completion theorem for uniform entropy holds in the class of all metric spaces. However, the completion theorem for Bowen's entropy does not hold in the class of all totally bounded metric spaces.
Modifying Bowen's entropy, we introduce a new uniform entropy. We prove that the completion theorem for uniform entropy holds in the class of all metric spaces. However, the completion theorem for Bowen's entropy does not hold in the class of all totally bounded metric spaces.
Classification : 28D20, 54C70, 54H20
Keywords: entropy; completion; uniformity 
Kimura, Takashi. Completion theorem for uniform entropy. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 2, pp. 389-399. http://geodesic.mathdoc.fr/item/CMUC_1998_39_2_a15/
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     author = {Kimura, Takashi},
     title = {Completion theorem for uniform entropy},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {389--399},
     year = {1998},
     volume = {39},
     number = {2},
     mrnumber = {1651987},
     zbl = {0937.54024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_2_a15/}
}
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