Prereflections and reflections

DOI10.1080/00927878608823331zbMath0587.18002OpenAlexW2169827440MaRDI QIDQ3714247

Walter Tholen

Publication date: 1986

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927878608823331

zbMATH Keywords

factorization systemmonadreflective subcategorypointed endofunctorprereflection

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categories and theories (18C99)

Related Items (11)

On two extension of dicksons torsion theory ⋮ Unnamed Item ⋮ Closure operators. I ⋮ On left-cancellable classes of morphisms ⋮ Idempotency of extensions via the bicompletion ⋮ Reflective subcategories ⋮ Some open categorical problems in Top ⋮ Regular closure operators ⋮ More on upper bicompletion-true functorial quasi-uniformities ⋮ PRELOCALIZATIONS AND NATURAL NUMBERS ⋮ The category of complete Boolean algebras is not an intersection of reflective subcategories of the category of frames

Cites Work

• Constructions of factorization systems in categories
• Categorical constructions of free algebras, colimits, and completions of partial algebras
• Semi-topological functors. I
• Free monads and the orthogonal subcategory problem
• Coequalizers and free triples
• On the Category of Sheaves
• Factorizations, Localizations, and the Orthogonal Subcategory Problem
• On left-cancellable classes of morphisms
• A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on
• Note on adjoints
• INSTANCES AND RAMIFICATIONS OF THE SEMI-ADJOINT SITUATION I. PRESTABLE REFLECTION AND SYMMETRIC UNADS
• Atomless Parts of Spaces.
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