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T-categories. (Categories dans un triple). (French) Zbl 0246.18007


MSC:

18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
18A10 Graphs, diagram schemes, precategories
18D10 Monoidal, symmetric monoidal and braided categories (MSC2010)
18D30 Fibered categories
54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
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References:

[1] M. Barr , Relationnal algebras , Lecture Notes 137 , Springer ( 1969 ). Zbl 0204.33202 · Zbl 0204.33202
[2] J. Benabou , Introduction to bicategories , Lecture Notes 47 , Springer ( 1967 ). MR 220789
[3] A. Burroni , Esquisse des catégories à limites et des quasi-topologies , Esquisses Mathématiques 5 , Université Paris 7 ( 1970 ). Zbl 0395.18005 · Zbl 0395.18005
[4] C. Ehresmann , Catégories structurées généralisées , Cahiers Top. et Géom. dif. X - 1 , Dunod , Paris ( 1968 ). Numdam | MR 244337
[5] J. Lambek , Deductive systems and categories , Lecture Notes 86 , Springer ( 1969 ). MR 242637 · Zbl 0198.33701
[6] E. Manes , A triple theoretic construction , Lecture Notes 80 , Springer ( 1969 ). MR 244342 · Zbl 0186.02901
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