Geodesic
Entropy-like functionals: conceptual background and some results
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 645-660.

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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.
Classification : 94A17
Keywords: entropy-like functionals; Hartley value of a piece of information; moderate $E$-entropy 
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     author = {Kat\v{e}tov, Miroslav},
     title = {Entropy-like functionals: conceptual background and some results},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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Katětov, Miroslav. Entropy-like functionals: conceptual background and some results. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 4, pp. 645-660. http://geodesic.mathdoc.fr/item/CMUC_1992__33_4_a9/