## Takashi Kimura

*Completion theorem for uniform entropy *

Comment.Math.Univ.Carolinae 39,2 (1998) 389-399. **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.

**Keywords:** entropy, completion, uniformity

**AMS Subject Classification:** 54H20

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