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
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A. Ya. Khintchin, Continued fractions, Univ. of Chicago Press, Chicago, Ill., 1964.
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