Bulletin of the American Mathematical Society

On the analysis and synthesis of certain abstract systems

Reese T. Prosser

Full-text: Open access

Article information

Source
Bull. Amer. Math. Soc., Volume 77, Number 3 (1971), 444-448.

Dates
First available in Project Euclid: 4 July 2007

Permanent link to this document
https://projecteuclid.org/euclid.bams/1183532830

Mathematical Reviews number (MathSciNet)
MR0274094

Zentralblatt MATH identifier
0213.49602

Subjects
Primary: 5425 5470 4141 4160 4115 9310
Secondary: 9410 9420

Citation

Prosser, Reese T. On the analysis and synthesis of certain abstract systems. Bull. Amer. Math. Soc. 77 (1971), no. 3, 444--448. https://projecteuclid.org/euclid.bams/1183532830


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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).
  • 2. R. T. Prosser and W. L. Root, Determinable classes of channels. I, J. Math. Mech. 16 (1966), 365-397. MR 34 #4052.
  • 3. W. Hurewicz and H. Wallman, Dimension theory, Princeton Math. Series, vol. 4, Princeton Univ. Press, Princeton, N. J., 1941. MR 3, 312.
  • 4. See reference 3.
  • 5. A. N. Kolmogorov, Über die beste Annaherung von Funktionen einer gegebenen Funktionenklasse, Ann. of Math. (2) 37 (1936), 107-111.
  • 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. R. T. Prosser, Note on metric dimension, Proc. Amer. Math. Soc. 25 (1970), 763-765.
  • 8. Presented to the National Academy of Sciences at Dartmouth College on October 13, 1969.