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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A chain of inclusion relations in computable analysis
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by Oliver Aberth PDF
Proc. Amer. Math. Soc. 22 (1969), 539-548 Request permission
References
  • Oliver Aberth, Analysis in the computable number field, J. Assoc. Comput. Mach. 15 (1968), 275–299. MR 237337, DOI 10.1145/321450.321460
  • G. S. Ceĭtin, Algorithmic operators in constructive complete separable metric spaces. , Dokl. Akad. Nauk SSSR 128 (1959), 49–52 (Russian). MR 0115910
  • A. A. Markov, On constructive mathematics, Trudy Mat. Inst. Steklov 67 (1962), 8–14 (Russian). MR 0153564
  • I. P. Natanson, Theory of functions of a real variable, Frederick Ungar Publishing Co., New York, 1955. Translated by Leo F. Boron with the collaboration of Edwin Hewitt. MR 0067952
  • N. A. Šanin, A constructive interpretation of mathematical judgments, Trudy Mat. Inst. Steklov. 52 (1958), 226–311 (Russian). MR 0101189
  • I. D. Zaslavskiĭ, The refutation of some theorems of classical analysis in constructive analysis, Uspehi Mat. Nauk 10 (1955), 209-210. I. D. Zaslavskiĭ, Some peculiarities of constructive functions of a real variable in comparison with classical functions, Proc. Third All-Union Math. Congr. Acad. Sci. USSR, 1956, pp. 181-182.
  • I. D. Zaslavskiĭ and G. S. Ceĭtin, Singular coverings and properties of constructive functions connected with them, Trudy Mat. Inst. Steklov. 67 (1962), 458–502 (Russian). MR 0152428
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 22 (1969), 539-548
  • MSC: Primary 02.72
  • DOI: https://doi.org/10.1090/S0002-9939-1969-0242668-1
  • MathSciNet review: 0242668