Sequential multicategories

Claudio Pisani

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.

Keywords: Sequential, representable, exponentiable and cartesian multicategories; preadditive, additive and finite product categories; Boardman-Vogt tensor product

2010 MSC: 18C10, 18D10, 18D50, 18D99, 18E05

Theory and Applications of Categories, Vol. 29, 2014, No. 19, pp 496-541.

Published 2014-09-15.

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