| R.Betti, A.J. Power, On local adjointness of distributive categories, Boll. Un. Mat. Ital. (7) 2-B (1988), 931-947. |
....over bicategories, hence their name. Adjunctions in Caten of particular interest in this paper are as follows: left adjoint two sided enrichments are exactly the pseudo functors with local right adjoints . This notion of local adjunction is slightly more general than the one in [BePo88]. To complete the picture, let us recall the following results. The cartesian product of bicategories extends to a pseudo functor CatenCaten Caten that makes Caten into a monoidal tricategory. Caten has a closed structure Caten(VW , Z) Caten(V , Conv(W , Z) Eventually two sided ....
R.Betti, A.J. Power, On local adjointness of distributive categories, Boll. Un. Mat. Ital. (7) 2-B (1988), 931-947.
....the usual enrichments over bicategories, hence they were named two sided enrichments . Adjunctions in Caten were characterised: left adjoint two sided enrichments are exactly the pseudofunctors with local right adjoints . This notion of local adjointness is slightly more general than the one in [BePo88]. To complete the picture, let us recall the following results. The cartesian product of bicategories extends to a pseudo functor Caten Caten Caten that makes Caten into a monoidal tricategory. Caten has a closed structure Caten(V W;Z) Caten(V; Conv(W;Z) The two sided enrichments are ....
R.Betti, A.J. Power, On local adjointness of distributive categories, Boll. Un. Mat. Ital. (7) 2-B, 931947, (88)
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