U(X) as a ring for metric spaces X

DOI10.2298/FIL1707981CzbMath1488.54064arXiv1703.07327MaRDI QIDQ5157367

Javier Cabello Sánchez

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07327

zbMATH Keywords

Bourbaki-boundednessrings of uniformly continuous functionsuniform isolation

Mathematics Subject Classification ID

Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Special maps on metric spaces (54E40) Algebraic properties of function spaces in general topology (54C40) Real-valued functions in general topology (54C30)

Related Items (7)

Stability of Lipschitz-type functions under pointwise product and reciprocation ⋮ Uniform split continuity ⋮ McShane's extension theorem revisited ⋮ Preservation of uniform continuity under pointwise product ⋮ Uniform continuity and a new bornology for a metric space ⋮ Real-valued Lipschitz functions and metric properties of functions ⋮ Quiz your maths: Do the uniformly continuous functions on the line form a ring?

Cites Work

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• Uniform continuity of a product of real functions
• Uniform continuity of continuous functions of metric spaces
• A sharp representation of multiplicative isomorphisms of uniformly continuous functions
• On uniform spaces where all uniformly continuous functions are bounded
• Pointwise Products of Uniformly Continuous Functions on Sets in the Real Line
• New types of completeness in metric spaces

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