Geodesic
Sequential multicategories
Theory and applications of categories, Tome 29 (2014), pp. 496-541
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We study the monoidal closed category of symmetric multicategories, especially in relation with its cartesian structure and with sequential multicategories (whose arrows are sequences of concurrent arrows in a given category). Then we consider cartesian multicategories in a similar perspective and develop some peculiar items such as algebraic products. Several classical facts arise as a consequence of this analysis when some of the multicategories involved are representable.

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Classification : 18C10, 18D10, 18D50, 18D99, 18E05
Keywords: Sequential, representable, exponentiable and cartesian multicategories, preadditive, additive and finite product categories, Boardman-Vogt tensor product 
@article{TAC_2014_29_a18,
     author = {Claudio Pisani},
     title = {Sequential multicategories},
     journal = {Theory and applications of categories},
     pages = {496--541},
     year = {2014},
     volume = {29},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2014_29_a18/}
}
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Claudio Pisani. Sequential multicategories. Theory and applications of categories, Tome 29 (2014), pp. 496-541. http://geodesic.mathdoc.fr/item/TAC_2014_29_a18/