Approach theory in a category: A study of compactness and Hausdorff separation

DOI10.1007/s10485-007-9066-7zbMath1148.54003OpenAlexW2093575393MaRDI QIDQ945020

A. Gerlo

Publication date: 10 September 2008

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-007-9066-7

zbMATH Keywords

compactHausdorff(pre-)approach space\(b\)-compactclosed morphism

Mathematics Subject Classification ID

Compactness (54D30) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Special categories (18B99)

Related Items

Constructing the sobrification of an approach space via bicompletion ⋮ Zero dimensionality of the Čech-Stone compactification of an approach space

Cites Work

• Productivity of Zariski-compactness for constructs of affine spaces
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• Epimorphisms and cowellpoweredness for separated metrically generated theories
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• Separated and connected maps
• Categorically compact topological groups
• AUnif: A common supercategory of pMET and Unif
• Separation and epimorphisms in quasi-uniform spaces
• Sobrification and bicompletion of totally bounded quasi-uniform spaces
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