The relative uniform density of the continuous functions in the Baire functions, and of a divisible Archimedean \(\ell\)-group in any epicompletion

DOI10.1016/S0166-8641(98)00072-8zbMath0949.54016OpenAlexW2059919415MaRDI QIDQ1807548

Anthony W. Hager, Richard N. Ball

Publication date: 3 December 2000

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(98)00072-8

zbMATH Keywords

reflectionepimorphismBaire functionscontinuous real-valued functionsArchimedean lattice-ordered grouprelative uniform density

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Real-valued functions in general topology (54C30) Ordered topological linear spaces, vector lattices (46A40) Classification of real functions; Baire classification of sets and functions (26A21) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

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