Constructing the sobrification of an approach space via bicompletion

DOI10.1007/s10474-007-7092-4zbMath1174.54006OpenAlexW2117470242MaRDI QIDQ949866

E. Vandersmissen, A. Gerlo

Publication date: 21 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-007-7092-4

zbMATH Keywords

approach spacetotally boundedbicompletesoberCsászár-Pervin quasi-uniformityquasi-uniform gauge space

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Special categories (18B99)

Cites Work

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• Bicompletion of metrically generated constructs
• On the function ring functor in pointfree topology
• Functorial quasi-uniformities on frames
• Epimorphisms and cowellpoweredness for separated metrically generated theories
• Approach theory in a category: A study of compactness and Hausdorff separation
• Charakterisierung nüchterner Räume
• AUnif: A common supercategory of pMET and Unif
• Sober approach spaces are firmly reflective for the class of epimorphic embeddings
• Uniqueness of completion for metrically generated constructs
• Connectedness in metric frames
• Sober approach spaces
• Quasi-proximities for topological spaces
• Bicompleteness of the fine quasi-uniformity
• Metrically generated theories
• Sobrification and bicompletion of totally bounded quasi-uniform spaces

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