Completion theorem for uniform entropy. (English) Zbl 0937.54024

Kimura, Takashi

Commentat. Math. Univ. Carol. 39, No. 2, 389-399 (1998).

Summary: 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.

MSC:

54H20	Topological dynamics (MSC2010)
54C70	Entropy in general topology

Keywords:

uniformity