Hausdorff separation in categories

DOI10.1007/BF00873991zbMath0796.18005MaRDI QIDQ1320335

Maria Manuel Clementino

Publication date: 25 September 1994

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

zbMATH Keywords

closure operatorclosure spacesseparated objectfactorization system\(T_ 2\)-objectsconstant morphism with respect to a class

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

Related Items (1)

Constant morphisms and constant subcategories

Cites Work

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• Separated totally convex spaces
• Factorizations, denseness, separation, and relatively compact objects
• Closure operators. I
• Objects with closed diagonals
• Semi-topological functors. I
• A diagonal theorem for epireflective subcategories of Top and cowellpoweredness
• Compact Hausdorff objects

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