Semi-topological functors. I. (English) Zbl 0413.18001

Tholen, Walter

J. Pure Appl. Algebra 15, 53-73 (1979).

MSC:

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

Keywords:

semi-topological functor; (locally) orthogonal Q-functor; (locally) orthogonal E-category; semi-initial lifting; semi-final lifting; faithful functor; monadic functors; coreflective subcategories; full reflective subcategories; hom-sets; cowellpowered; Eilenberg-Moore-category; completions

Citations:

Zbl 0363.04002

References:

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