General insertion and extension theorems for localic real functions

DOI10.1016/J.JPAA.2010.08.004zbMath1217.06003OpenAlexW2093050146MaRDI QIDQ531326

Javier Gutiérrez García, Tomasz Kubiak

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.08.004

zbMATH Keywords

completely separated sublocalesKatětov relationlocale of realslocalic extension theoremlocalic insertion theoremlocalic maplocalic real function

Mathematics Subject Classification ID

Frames, locales (06D22) Extension of maps (54C20) (C)- and (C^*)-embedding (54C45) Real-valued functions in general topology (54C30)

Related Items (6)

Normal semicontinuity and the Dedekind completion of pointfree function rings ⋮ On the parallel between normality and extremal disconnectedness ⋮ A general insertion theorem for uniform locales ⋮ A lattice-theoretic approach to arbitrary real functions on frames ⋮ Continuous extensions of real functions on arbitrary sublocales and \(C\)-, \(C^\ast\)-, and \(z\)-embeddings ⋮ On classes of localic maps defined by their behavior on zero sublocales

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