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The core of adjoint functors
Theory and applications of categories, CT2011, Tome 27 (2012), pp. 47-64.

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There is a lot of redundancy in the usual definition of adjoint functors. We define and prove the core of what is required. First we do this in the hom-enriched context. Then we do it in the cocompletion of a bicategory with respect to Kleisli objects, which we then apply to internal categories. Finally, we describe a doctrinal setting.
Publié le :
Classification : 18A40, 18D10, 18D05
Keywords: adjoint functor, enriched category, bicategory, Kleisli cocompletion 
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     author = {Ross Street},
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     url = {http://geodesic.mathdoc.fr/item/TAC_2012_27_a3/}
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Ross Street. The core of adjoint functors. Theory and applications of categories, CT2011, Tome 27 (2012), pp. 47-64. http://geodesic.mathdoc.fr/item/TAC_2012_27_a3/