Quiz your maths: Do the uniformly continuous functions on the line form a ring?

DOI10.1090/proc/14531zbMath1433.46017arXiv1901.00950OpenAlexW2906861136WikidataQ114094227 ScholiaQ114094227MaRDI QIDQ5232926

Javier Cabello Sánchez, Félix Cabello Sánchez

Publication date: 13 September 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.00950

zbMATH Keywords

Lipschitz functionslattice homomorphismuniformly continuous functions\(f\)-ring structures

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Special maps on metric spaces (54E40) Lattices of continuous, differentiable or analytic functions (46E05) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (2)

Disjointness Preservers and Banach-Stone Theorems ⋮ Fine structure of the homomorphisms of the lattice of uniformly continuous functions on the line

Cites Work

• A structure theory for a class of lattice-ordered rings
• Urysohn universal space, its development and Hausdorff's approach
• Uniform continuity and a new bornology for a metric space
• Non-homogeneity of the remainder \(s\mathbb R\setminus \mathbb R\) of the Samuel compactification of \(\mathbb R\)
• Homomorphisms on function lattices
• Lipschitz-type functions on metric spaces
• Nonlinear order isomorphisms on function spaces
• Lattice-ordered Rings and Modules
• Spheres in Infinite-Dimensional Normed Spaces are Lipschitz Contractible
• Flows in Fibers
• U(X) as a ring for metric spaces X
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