Semi-topological functors. I

DOI10.1016/0022-4049(79)90040-9zbMath0413.18001OpenAlexW2086048481MaRDI QIDQ1260105

Walter Tholen

Publication date: 1979

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(79)90040-9

zbMATH Keywords

completionsfaithful functormonadic functorssemi-topological functorhom-sets(locally) orthogonal E-category(locally) orthogonal Q-functorcoreflective subcategoriescowellpoweredEilenberg-Moore-categoryfull reflective subcategoriessemi-final liftingsemi-initial lifting

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Fibered categories (18D30) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Special properties of functors (faithful, full, etc.) (18A22) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)

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