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**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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