Connected polynomials and continuity

DOI10.1016/J.JMAA.2018.02.004zbMath1397.46036OpenAlexW2792697826MaRDI QIDQ1754585

H. J. Cabana-Méndez, Gustavo A. Muñoz-Fernández, Juan B. Seoane-Sepúlveda

Publication date: 31 May 2018

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.2018.02.004

zbMATH Keywords

continuitypolynomiallineabilityconnected subset

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25)

Related Items (1)

Differentiability versus continuity: Restriction and extension theorems and monstrous examples

Cites Work

• Bounded and unbounded polynomials and multilinear forms: Characterizing continuity
• Riemann integrability and Lebesgue measurability of the composite function
• An undecidable case of lineability in \(\mathbb R^{\mathbb R}\)
• Uncountably generated algebras of everywhere surjective functions
• Linear subsets of nonlinear sets in topological vector spaces
• Lineability
• A Characterization of Continuity Revisited
• Compact Maps, Connected Maps and Continuity
• Characterizing Continuity
• Lineability and spaceability of sets of functions on $\mathbb {R}$
• Functions Preserving Compactness and Connectedness Are Continuous
• Some Remarks on Continuous Transformations

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