Semi-universal maps and universal initial completions

DOI10.2140/PJM.1979.82.407zbMath0379.18008OpenAlexW1994698445MaRDI QIDQ1247471

George E. Strecker, Horst Herrlich

Publication date: 1979

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1979.82.407

zbMATH Keywords

semi-universal mapsuniversal initial completions

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Connections of general topology with other structures, applications (54H99) Categories and theories (18C99)

Related Items (23)

Unnamed Item ⋮ Factorizations, denseness, separation, and relatively compact objects ⋮ CONCRETE CATEGORIES FOR WHICH FIBRE COMPLETIONS INDUCE TOPOLOGICAL COMPLETIONS ⋮ INITIAL COMPLETIONS OF MONOTOPOLOGICAL CATEGORIES, AND CARTESIAN CLOSEDNESS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ FACTORIZATION OF FLOWS AND COMPLETENESS OF CATEGORIES ⋮ On the MacNeille Completion of the Category of Partially Ordered Topological Spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Initial morphisms and monomorphisms ⋮ Unnamed Item ⋮ Multiepireflective subcategories ⋮ Unnamed Item ⋮ FAITHFULNESS VS. TOPOLOGICITY ⋮ ANOTHER CHARACTERIZATION OF BICOREFLECTIVE SUBCATEGORIES ⋮ Pro-reflective subcategories ⋮ SEMI-TOPOLOGICAL FUNCTORS THAT INDUCE IDEMPOTENT MONADS ⋮ RESTRICTED ADJOINTS AND TOPOLOGICAL FUNCTORS ⋮ CARTESIAN CLOSEDNESS, EXPONENTIALITY, AND FINAL HULLS IN PSEUDOTOPOLOGICAL SPACES ⋮ POWERS AND EXPONENTIAL OBJECTS IN INITIALLY STRUCTURED CATEGORIES AND APPLICATIONS TO CATEGORIES OF LIMIT SPACES ⋮ Topological categories

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