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On the analysis and synthesis of certain abstract systems. (English) Zbl 0213.49602


MSC:

54E40 Special maps on metric spaces
54E45 Compact (locally compact) metric spaces
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References:

[1] R. T. Prosser, On the analysis and synthesis of certain abstract systems, Trans. Amer. Math. Soc. (submitted); Determinable classes of channels. II, J. Math. Mech. (submitted). · Zbl 0154.44306
[2] R. T. Prosser and W. L. Root, Determinable classes of channels, J. Math. Mech. 16 (1966), 365 – 397. · Zbl 0154.44306
[3] Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. · Zbl 0060.39808
[4] See reference 3.
[5] A. Kolmogoroff, Über die beste Annäherung von Funktionen einer gegebenen Funktionenklasse, Ann. of Math. (2) 37 (1936), no. 1, 107 – 110 (German). · JFM 62.0283.02 · doi:10.2307/1968691
[6] A. N. Kolmogorov and V. M. Tihomirov, \?-entropy and \?-capacity of sets in function spaces, Uspehi Mat. Nauk 14 (1959), no. 2 (86), 3-86; English transl., Amer. Math. Soc. Transl. (2) 17 (1961), 277-364. MR 22 #2890; MR 23 #A2031. · Zbl 0090.33503
[7] Reese T. Prosser, Note on metric dimension, Proc. Amer. Math. Soc. 25 (1970), 763 – 765. · Zbl 0197.19303
[8] Presented to the National Academy of Sciences at Dartmouth College on October 13, 1969.
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