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Approximate continuity and linear approximate continuity


Author: Casper Goffman
Journal: Proc. Amer. Math. Soc. 119 (1993), 339-340
MSC: Primary 26B05
DOI: https://doi.org/10.1090/S0002-9939-1993-1162089-0
MathSciNet review: 1162089
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Abstract: A contrast between approximated continuity and continuity is obtained similar to the classical one for derivatives.


References [Enhancements On Off] (What's this?)

  • [1] W. Stepanoff, Uber totale Differenzierbarkeit, Math. Ann. 90 (1923), 318-320. MR 1512177
  • [2] -, Sur les conditions de l'existence de la differentielle total, Math. Soc. Math. Moscow 32 (1925), 511-525.
  • [3] S. Saks, Theory of the integral, Warsaw, 1937, p. 130.
  • [4] C. Goffman, One-one measurable transformations, Acta Math. 89 (1953), 261-278. MR 0057308 (15:204j)

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DOI: https://doi.org/10.1090/S0002-9939-1993-1162089-0
Article copyright: © Copyright 1993 American Mathematical Society

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