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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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 counterexample related to a criterion for a function to be continuous
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by J. Michael Steele PDF
Proc. Amer. Math. Soc. 79 (1980), 107-109 Request permission

Abstract:

A construction is given of a right-continuous function which satisfies an arithmetic continuity condition, but which is not continuous. The problem is motivated by a familiar criterion for the continuity of sample paths of a stochastic process.
References
    A. Ya. Khintchin, Continued fractions, Univ. of Chicago Press, Chicago, Ill., 1964.
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Additional Information
  • © Copyright 1980 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 79 (1980), 107-109
  • MSC: Primary 60G17; Secondary 26A15
  • DOI: https://doi.org/10.1090/S0002-9939-1980-0560594-X
  • MathSciNet review: 560594