On lineability and additivity of real functions with finite preimages

DOI10.1016/j.jmaa.2014.07.046zbMath1326.46033OpenAlexW1971396385MaRDI QIDQ743204

Krzysztof Płotka

Publication date: 23 September 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.07.046

zbMATH Keywords

additivitylineability\(n\)-to-one functionsHamel functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Linear function spaces and their duals (46E99)

Related Items (3)

Lineability and additivity of almost injective functions ⋮ Free group of Hamel functions ⋮ On the geometry and regularity of invariant sets of piecewise-affine automorphisms on the Euclidean space

Cites Work

• Unnamed Item
• Unnamed Item
• Large algebraic structures inside the set of surjective functions
• On lineability of sets of continuous functions
• Lineability, spaceability, and algebrability of certain subsets of function spaces
• Lineability and algebrability of pathological phenomena in analysis
• Lineability and additivity in \(\mathbb R^{\mathbb R}\)
• An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
• Additivity and lineability in vector spaces
• Lineability, spaceability, and additivity cardinals for Darboux-like functions
• Finitely continuous Hamel functions
• Algebrability, non-linear properties, and special functions
• Linear subsets of nonlinear sets in topological vector spaces
• Sierpiński-Zygmund functions and other problems on lineability
• On Functions Whose Graph is a Hamel Basis, II
• On functions whose graph is a Hamel basis
• Lineability and spaceability of sets of functions on $\mathbb {R}$

This page was built for publication: On lineability and additivity of real functions with finite preimages