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Bulletin of the American Mathematical Society

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On the analysis and synthesis of certain abstract systems


Author: Reese T. Prosser
Journal: Bull. Amer. Math. Soc. 77 (1971), 444-448
MSC (1970): Primary 5425, 5470, 4141, 4160, 4115, 9310; Secondary 9410, 9420
MathSciNet review: 0274094
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References [Enhancements On Off] (What's this?)

  • 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).
  • 2. R. T. Prosser and W. L. Root, Determinable classes of channels, J. Math. Mech. 16 (1966), 365–397. MR 0204208
  • 3. Witold Hurewicz and Henry Wallman, Dimension Theory, Princeton Mathematical Series, v. 4, Princeton University Press, Princeton, N. J., 1941. MR 0006493
  • 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). MR 1503273, 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.
  • 7. Reese T. Prosser, Note on metric dimension, Proc. Amer. Math. Soc. 25 (1970), 763–765. MR 0259873, 10.1090/S0002-9939-1970-0259873-9
  • 8. Presented to the National Academy of Sciences at Dartmouth College on October 13, 1969.

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1971-12733-7