Large algebraic structures inside the set of surjective functions

zbMath1221.15006MaRDI QIDQ550440

José Luis Gámez-Merino

Publication date: 11 July 2011

Published in: Bulletin of the Belgian Mathematical Society - Simon Stevin (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bbms/1307452079

zbMATH Keywords

spaceabilitylineabilityinfinite dimensional linear spaceJones functionslarge linear structuressurjective functions

Mathematics Subject Classification ID

Vector spaces, linear dependence, rank, lineability (15A03) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27)

Related Items (17)

Algebraic structures in the sets of surjective functions ⋮ Cardinal coefficients related to surjectivity, Darboux, and Sierpiński-Zygmund maps ⋮ Lineability and spaceability: a new approach ⋮ Lineability of the functions that are Sierpiński-Zygmund, Darboux, but not connectivity ⋮ Peano curves on topological vector spaces ⋮ Additivity and lineability in vector spaces ⋮ Algebrability of some families of Darboux-like functions ⋮ Lineability, spaceability, and additivity cardinals for Darboux-like functions ⋮ Lineability criteria, with applications ⋮ Discontinuous additive functions: regular behavior vs. pathological features ⋮ Lineability and algebrability within \(p\)-adic function spaces ⋮ On functions that are almost continuous and perfectly everywhere surjective but not Jones. Lineability and additivity ⋮ A hierarchy in the family of real surjective functions ⋮ On lineability and additivity of real functions with finite preimages ⋮ Holomorphic surjectivity near the boundary: topological and algebraic genericity ⋮ Algebrability, non-linear properties, and special functions ⋮ Linear subsets of nonlinear sets in topological vector spaces

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