Functions with the Darboux property and functions with connected graphs

DOI10.1007/BF01360765zbMath0095.26902OpenAlexW2072428798MaRDI QIDQ772945

Solomon Marcus

Publication date: 1960

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/160815

zbMATH Keywords

differentiation and integration, measure theory

Related Items (5)

Can one recognize a function from its graph? ⋮ Darboux functions with nowhere dense graphs ⋮ The continuity structure of open finite-to-one functions ⋮ Unnamed Item ⋮ The continuity of symmetric and smooth functions

Cites Work

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• An example of a function with a distorted image
• Sur l'oeuvre scientifique de Stefan Banach. II. Théorie des fonctions réelles et théorie de la mesure
• Discontinuous Functions with the Darboux Property
• Non-Measurable Sets and the Equation f(x + y) = f(x) + f(y)
• Connected and disconnected plane sets and the functional equation 𝑓(𝑥)+𝑓(𝑦)=𝑓(𝑥+𝑦)

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