Date of this Version
Proceedings of the American Mathematical Society
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.
© Copyright 1980 American Mathematical Society
Continuous path, continuity criterion, quadratic irrational
Steele, J. M. (1980). A Counterexample Related to a Criterion for a Function to be Continuous. Proceedings of the American Mathematical Society, 79 (1), 107-109. http://dx.doi.org/10.2307/2042397
Date Posted: 27 November 2017
This document has been peer reviewed.