U-closure operators and compactness

DOI10.1007/s10485-005-9001-8zbMath1102.18001OpenAlexW2042680157MaRDI QIDQ2432568

Gabriele Castellini, Eraldo Giuli

Publication date: 25 October 2006

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

Full work available at URL: https://doi.org/10.1007/s10485-005-9001-8

zbMATH Keywords

compactnessclosure operatorfaithful functorfactorization structureseparation

Mathematics Subject Classification ID

Special properties of functors (faithful, full, etc.) (18A22) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Internal Neighbourhood Structures II: Closure and closed morphisms ⋮ Categorically closed countable semigroups ⋮ Absolutely closed semigroups ⋮ Uniqueness of completion for metrically generated constructs ⋮ Internal neighbourhood structures ⋮ Neighborhoods with respect to a categorical closure operator

Cites Work

• Closure operators. I
• Categorically compact topological groups
• Categories of continuous functors. I
• Factorizations, Localizations, and the Orthogonal Subcategory Problem
• GLOBAL CLOSURE OPERATORS VS. SUBCATEGORIES
• Categorical Closure Operators
• Topological functors
• On classes of T0 spaces admitting completions
• Closure operators with respect to a functor
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