On dimensions of semimetrized measure spaces

Miroslav Katětov

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 3, page 399-411
  • ISSN: 0010-2628

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Katětov, Miroslav. "On dimensions of semimetrized measure spaces." Commentationes Mathematicae Universitatis Carolinae 028.3 (1987): 399-411. <http://eudml.org/doc/17554>.

@article{Katětov1987,
author = {Katětov, Miroslav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Shannon functional; regularized upper (lower) Rényi dimension; monotone dimension; extended Shannon semientropy; dimension functionals; topological dimension},
language = {eng},
number = {3},
pages = {399-411},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On dimensions of semimetrized measure spaces},
url = {http://eudml.org/doc/17554},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Katětov, Miroslav
TI - On dimensions of semimetrized measure spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 3
SP - 399
EP - 411
LA - eng
KW - Shannon functional; regularized upper (lower) Rényi dimension; monotone dimension; extended Shannon semientropy; dimension functionals; topological dimension
UR - http://eudml.org/doc/17554
ER -

References

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  1. J. BALATONI A. RÉNYI, On the notion of entropy (Hungarian), Publ. Math. Inst. Hungarian Acad. Sci. 1 (1956), 9-40. - English translation: Selected papers of Alfred Renyi, vol. I, pp. 558-584, Akademiai Kiado, Budapest, 1976. (1956) 
  2. M. KATĚTOV, Extended Shannon entropies I, Czechosl. Math. J. 33 (108) (1983), 564-601. (1983) MR0721088
  3. M. KATĚTOV, On extended Shannon entropies and the epsilon entropy, Comment. Math. Univ. Carolinae 27 (1986), 519-543. (1986) MR0873625
  4. M. KATĚTOV, On the Rényi dimension, Comment. Math. Univ. Carolinae 27 (1986), 741-753. (1986) MR0874669

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