Riesz spaces of normal semicontinuous functions

DOI10.1007/s00009-014-0466-2zbMath1343.46002OpenAlexW2024299308MaRDI QIDQ892118

Nicolae Dăneţ

Publication date: 18 November 2015

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-014-0466-2

zbMATH Keywords

semicontinuous functionsvector latticesRiesz spacesDedekind order completion

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Complete lattices, completions (06B23) Ordered topological linear spaces, vector lattices (46A40)

Related Items (4)

A unified approach to Gelfand and de Vries dualities ⋮ A point-free approach to canonical extensions of Boolean algebras and bounded Archimedean \(\ell \)-algebras ⋮ The Dedekind Completion of C(X) with Pointwise Discontinuous Functions ⋮ A generalization of Gelfand-Naimark-Stone duality to completely regular spaces

Cites Work

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• Dedekind Order Completion ofC(X) by Hausdorff Continuous Functions
• The Second Dual of the Space of Continuous Functions. IV
• A new representation of the Dedekind completion of 𝐶(𝐾)-spaces
• A note on the cut extension of $C$-spaces
• The Normal Completion of the Lattice of Continuous Functions

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