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arXiv · 1312.3912

Lax monads, equipments and generalized multicategory theory

Dimitri Chikhladze
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Abstract

Generalized multicategories, also called $T$-monoids, are well known class of mathematical structures, which include diverse set of examples. In this paper we construct a generalization of the adjunction between strict monoidal categories and multicategories, where the latter are replaced by $T$-monoids. To do this we introduce lax monads in a 3-category, and establish their relationship with equipments, which are bicategory like structures appropriate for the generalized multicategory theory.

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Dimitri Chikhladze. 2014-12-16. Lax monads, equipments and generalized multicategory theory. https://arxiv.org/abs/1312.3912

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