Zentralblatt MATH

Publications of (and about) Paul Erdös

Zbl.No:  163.29903
Autor:  Erdös, Pál
Title:  An example concerning open everywhere discontinuous functions (In English)
Source:  Rev. Roum. Math. Pures Appl. 11, 621-622 (1966).
Review:  In the following, I shall give an example which answers in the affirmative the following problem posed by S.Marcus [Am. Math. Mon. 72, 993-995 (1965; Zbl 143.27802)]. Does there exist an open (Lebesgue or even Borelian) everywhere discontinuous function which has the Darboux property in no intervall?
Classif.:  * 26A15 Continuity and related questions (one real variable)
Index Words:  differentiation and integration, measure theory

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