# Completion theorem for uniform entropy

Commentationes Mathematicae Universitatis Carolinae (1998)

- Volume: 39, Issue: 2, page 389-399
- ISSN: 0010-2628

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topKimura, Takashi. "Completion theorem for uniform entropy." Commentationes Mathematicae Universitatis Carolinae 39.2 (1998): 389-399. <http://eudml.org/doc/248236>.

@article{Kimura1998,

abstract = {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.},

author = {Kimura, Takashi},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {entropy; completion; uniformity; uniformity},

language = {eng},

number = {2},

pages = {389-399},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Completion theorem for uniform entropy},

url = {http://eudml.org/doc/248236},

volume = {39},

year = {1998},

}

TY - JOUR

AU - Kimura, Takashi

TI - Completion theorem for uniform entropy

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1998

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 39

IS - 2

SP - 389

EP - 399

AB - 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.

LA - eng

KW - entropy; completion; uniformity; uniformity

UR - http://eudml.org/doc/248236

ER -

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