When lattices of uniformly continuous functions on \(X\) determine \(X\)

DOI10.1016/J.TOPOL.2015.08.015zbMath1328.54013OpenAlexW1810260899MaRDI QIDQ500935

Miroslav Hušek, Antonio Pulgarín

Publication date: 8 October 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.08.015

zbMATH Keywords

uniform continuityBanach-Stone theoremlattice of functions

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Uniform structures and generalizations (54E15) Lattices (06B99)

Related Items (5)

Ultrafilter-completeness on zero-sets of uniformly continuous functions ⋮ Restrictions of homeomorphisms of compactifications ⋮ Variations of uniform completeness related to realcompactness ⋮ Ordered sets as uniformities ⋮ A general Banach-Stone type theorem and applications

Cites Work

• Lattices of uniformly continuous functions determine their sublattices of bounded functions
• Multiplicative semigroups of continuous functions
• Banach-Stone-like theorems for lattices of uniformly continuous functions
• Continuity in metric spaces
• Subcategories of Uniform Spaces
• COMPLETENESS AND COVERING PROPERTIES OF UNIFORM SPACES
• Lattices of continuous functions
• Lattices of uniformly continuous functions
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