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M.A. Batanin, Computads for finitary monads on globular sets, Higher category theory (Evanston, IL,

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Representable Multicategories - Hermida (1999)   (13 citations)  (Correct)

....multicategories and strict monoidal categories, cf. Corollary 8.13 and its subsequent elaboration. However, it is important to emphasise that a different (and certainly shorter) proof of monadicity of this 2 adjunction can be obtained directly from results already available in the literature [Str76, Bat98b, Bat98a, Wol74]. The fact that n categories are monadic over computads [Str76, Bat98a] is closely related to the monadicity result above, since a multicategory is a restricted kind of computad. 8 Representable multicategories 8.1 Elementary definition of representability in multicategories Let us recall ....

....elaboration. However, it is important to emphasise that a different (and certainly shorter) proof of monadicity of this 2 adjunction can be obtained directly from results already available in the literature [Str76, Bat98b, Bat98a, Wol74] The fact that n categories are monadic over computads [Str76, Bat98a] is closely related to the monadicity result above, since a multicategory is a restricted kind of computad. 8 Representable multicategories 8.1 Elementary definition of representability in multicategories Let us recall that, given a commutative ring R and bimodules M , N and P , a bilinear map ....

M. Batanin. Computads for finitary monads on globular sets. Contemporary Mathematics, 230:37--58, 1998. A.M.S. publication.


Project Description: - Higher Categorical Structures   (Correct)

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M.A. Batanin, Computads for finitary monads on globular sets, Higher category theory (Evanston, IL,

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