Entropy-like functionals: Conceptual background and some results. (English) Zbl 0777.94006

Summary: 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.


94A17 Measures of information, entropy
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