About the region below the graph of a function

DOI10.1007/s40574-015-0020-6zbMath1331.54020OpenAlexW2127526341MaRDI QIDQ496262

Claudio Bernardi

Publication date: 21 September 2015

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-015-0020-6

zbMATH Keywords

additive functionhypographconnected seteverywhere surjection (or strongly Darboux function)pathwise connected set

Mathematics Subject Classification ID

Singular functions, Cantor functions, functions with other special properties (26A30) Connected and locally connected spaces (general aspects) (54D05) Peculiar topological spaces (54G99) Mappings and functions (educational aspects) (97I20)

Related Items (3)

Graphs of real functions with pathological behaviors ⋮ Discontinuous additive functions: regular behavior vs. pathological features ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Discontinuous additive functions: regular behavior vs. pathological features
• Theorems and counterexamples in mathematics
• Linear subsets of nonlinear sets in topological vector spaces
• $\mathsf Q$-linear functions, functions with dense graph, and everywhere surjectivity
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Topologia
• Remarks on the Functional 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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