Order-Cauchy Completions of Rings and Vector Lattices of Continuous Functions

DOI10.4153/CJM-1980-052-0zbMath0462.54009OpenAlexW1997373240MaRDI QIDQ3913437

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Publication date: 1980

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

Full work available at URL: https://doi.org/10.4153/cjm-1980-052-0

zbMATH Keywords

lattice-ordered groupDedekind completionCauchy completionTikhonov spaceMac Neille completionquasi F-spacedense cozero setlattice-ordered ring of continuous functionsorder-Cauchy sequence

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Baire category, Baire spaces (54E52) Complete lattices, completions (06B23) Lattices of continuous, differentiable or analytic functions (46E05) (C)- and (C^*)-embedding (54C45)

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