A lattice-theoretic approach to arbitrary real functions on frames

DOI10.2989/16073606.2017.1380725zbMath1436.06025OpenAlexW2767240493MaRDI QIDQ4643741

Imanol Mozo Carollo

Publication date: 28 May 2018

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

Full work available at URL: https://doi.org/10.2989/16073606.2017.1380725

zbMATH Keywords

localeframeorder completeDedekind-MacNeille completioncontinuous real functionframe of realsHausdorff continuous real functionpartial real functionsemicontinuous real function

Mathematics Subject Classification ID

Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Complete lattices, completions (06B23) Frames, locales (06D22) Higher separation axioms (completely regular, normal, perfectly or collectionwise normal, etc.) (54D15) Real-valued functions in general topology (54C30)

Related Items (3)

Observables on \(\sigma\)-frame effect algebras as upper semicontinuous functions ⋮ Perfect locales and localic real functions ⋮ On the universal completion of pointfree function spaces

Cites Work

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