Geodesic
A constructivization of the notions of $\varepsilon$-entropy and $\varepsilon$-capacity
Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part VI, Tome 40 (1974), pp. 38-44 Cet article a éte moissonné depuis la source Math-Net.Ru

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Conditions are found warranting existence of constructive functions inverse to $\varepsilon$-entropy, $\varepsilon$-capacity and $n$-width of compact sets can be constructively proved. 
@article{ZNSL_1974_40_a6,
     author = {V. Ya. Kreinovich},
     title = {A~constructivization of the notions of $\varepsilon$-entropy and $\varepsilon$-capacity},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {38--44},
     year = {1974},
     volume = {40},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1974_40_a6/}
}
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V. Ya. Kreinovich. A constructivization of the notions of $\varepsilon$-entropy and $\varepsilon$-capacity. Zapiski Nauchnykh Seminarov POMI, Studies in constructive mathematics and mathematical logic. Part VI, Tome 40 (1974), pp. 38-44. http://geodesic.mathdoc.fr/item/ZNSL_1974_40_a6/