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

On a problem of Bruckner and Ceder concerning the sum of Darboux functions


Author: J. S. Lipiński
Journal: Proc. Amer. Math. Soc. 62 (1977), 57-61
MSC: Primary 26A15
MathSciNet review: 0425037
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Abstract: The main purpose of this paper is to show that for some continuous function f and any preassigned, countable and dense set D of real numbers there exists a measurable function d which takes on every real value in every interval such that the range of $ f + d$ is D.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0425037-5
PII: S 0002-9939(1977)0425037-5
Keywords: Darboux functions
Article copyright: © Copyright 1977 American Mathematical Society