Uniqueness of completion for metrically generated constructs

DOI10.1016/j.topol.2007.08.011zbMath1131.54014OpenAlexW2081622315MaRDI QIDQ2463866

E. Vandersmissen, Eva Lowen-Colebunders, Robert Lowen

Publication date: 6 December 2007

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

Full work available at URL: https://repository.uantwerpen.be/docman/irua/bba66f/5635.pdf

zbMATH Keywords

metricapproach spacecompletionuniform spaceCauchy filterultrametricmetrically generated theoryuniqueness of completionfirm reflection

Mathematics Subject Classification ID

Complete metric spaces (54E50) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Nearness spaces (54E17) Special categories (18B99)

Related Items (5)

Function spaces in metrically generated theories ⋮ Bicompletion of metrically generated constructs ⋮ Constructing the sobrification of an approach space via bicompletion ⋮ Completion via nearness for metrically generated constructs ⋮ Spaces modelled by an algebra on \([0,\infty \) and their complete objects]

Cites Work

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• Sober approach spaces are firmly reflective for the class of epimorphic embeddings
• Completion via nearness for metrically generated constructs
• Stone-Čech compactification of a product
• On epireflective subcategories of topological categories
• Metrically generated theories

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