Displaying similar documents to “On continuous actions commutingwith actions of positive entropy”

Completion theorem for uniform entropy

Takashi Kimura (1998)

Commentationes Mathematicae Universitatis Carolinae

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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.

Entropy-like functionals: conceptual background and some results

Miroslav Katětov (1992)

Commentationes Mathematicae Universitatis Carolinae

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We describe a conceptual approach which provides a unified view of various entropy-like functionals on the class of semimetric spaces, endowed with a bounded measure. The entropy E considered in the author’s previous articles is modified so as to assume finite values for a fairly wide class of spaces which fail to be totally bounded.