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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A chain of inclusion relations in computable analysis


Author: Oliver Aberth
Journal: Proc. Amer. Math. Soc. 22 (1969), 539-548
MSC: Primary 02.72
MathSciNet review: 0242668
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  • [1] Oliver Aberth, Analysis in the computable number field, J. Assoc. Comput. Mach. 15 (1968), 275–299. MR 0237337 (38 #5626)
  • [2] G. S. Ceĭtin, Algorithmic operators in constructive complete separable metric spaces., Dokl. Akad. Nauk SSSR 128 (1959), 49–52 (Russian). MR 0115910 (22 #6708)
  • [3] A. A. Markov, On constructive mathematics, Trudy Mat. Inst. Steklov 67 (1962), 8–14 (Russian). MR 0153564 (27 #3528)
  • [4] 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 (16,804c)
  • [5] N. A. Šanin, A constructive interpretation of mathematical judgments, Trudy Mat. Inst. Steklov. 52 (1958), 226–311 (Russian). MR 0101189 (21 #2)
  • [6] I. D. Zaslavskiĭ, The refutation of some theorems of classical analysis in constructive analysis, Uspehi Mat. Nauk 10 (1955), 209-210.
  • [7] 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.
  • [8] 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 (27 #2408)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1969-0242668-1
PII: S 0002-9939(1969)0242668-1
Article copyright: © Copyright 1969 American Mathematical Society