Banach-Stone-like theorems for lattices of uniformly continuous functions

DOI10.2989/16073606.2012.742238zbMath1274.54059OpenAlexW2052225028MaRDI QIDQ2862810

Miroslav Hušek, Antonio Pulgarín

Publication date: 19 November 2013

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2012.742238

zbMATH Keywords

\(\mathfrak R\)-generated uniform spacelattice of uniformly continuous functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Structure and representation theory of distributive lattices (06D05) Uniform structures and generalizations (54E15) Real-valued functions in general topology (54C30)

Related Items (6)

The Samuel realcompactification ⋮ Fine structure of the homomorphisms of the lattice of uniformly continuous functions on the line ⋮ Variations of uniform completeness related to realcompactness ⋮ When lattices of uniformly continuous functions on \(X\) determine \(X\) ⋮ The Samuel realcompactification of a metric space ⋮ A general Banach-Stone type theorem and applications

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