Abstract
The article is mainly devoted to the systematic exposition of results that were published in the years 1954–1958 by K. I. Babenko [1], A. G. Vitushkin [2,3], V. D. Yerokhin [4], A. N. Kolmogorov [5,6] and V. M. Tikhomirov [7]. It is natural that when these materials were systematically rewritten, several new theorems were proved and certain examples were computed in more detail. This review also incorporates results not published previously which go beyond the framework of such a systematization, and belong to V. I. Arnold (§6) and V. M. Tikhomirov (§§4,7 and §8).
Uspekhi Mat. Nauk, 1959, vol. 14, No.2, p. 3-86.
In this edition, subsections 8.4-8.7 of this paper (some eleven pages), which, for one reason or another, had been left out of the Russian edition of the selected papers of Kolmogorov, have bee reinserted. Series editors note.
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References
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Tikhomirov, V.M. (1993). ε-Entropy and ε-Capacity of Sets In Functional Spaces. In: Shiryayev, A.N. (eds) Selected Works of A. N. Kolmogorov. Mathematics and Its Applications, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2973-4_7
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