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Note on total categories. (English) Zbl 0431.18002

MSC:
18A25 Functor categories, comma categories
18A35 Categories admitting limits (complete categories), functors preserving limits, completions
18A32 Factorization systems, substructures, quotient structures, congruences, amalgams
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18B30 Categories of topological spaces and continuous mappings (MSC2010)
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18D99 Categorical structures
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
18A22 Special properties of functors (faithful, full, etc.)
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References:
[1] DOI: 10.1016/0022-4049(79)90040-9 · Zbl 0413.18001 · doi:10.1016/0022-4049(79)90040-9
[2] DOI: 10.1016/0021-8693(78)90160-6 · Zbl 0401.18004 · doi:10.1016/0021-8693(78)90160-6
[3] Adámek, Bull. Austral. Math. Soc. 17 pp 433– (1977)
[4] DOI: 10.1080/00927877508822061 · Zbl 0316.18004 · doi:10.1080/00927877508822061
[5] DOI: 10.1007/BF01691344 · Zbl 0155.03504 · doi:10.1007/BF01691344
[6] Street, J. Pure Appl. Algebra
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