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.
@article{119016,
author = {Takashi Kimura},
title = {Completion theorem for uniform entropy},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {39},
year = {1998},
pages = {389-399},
zbl = {0937.54024},
mrnumber = {1651987},
language = {en},
url = {http://dml.mathdoc.fr/item/119016}
}
Kimura, Takashi. Completion theorem for uniform entropy. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 389-399. http://gdmltest.u-ga.fr/item/119016/
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