par Buckley, Mitchell
Référence Applied categorical structures, 24, 6, page (765-796)
Publication Publié, 2016
Article révisé par les pairs
Résumé : The Catalan simplicial set ℂ is known to classify skew-monoidal categories in the sense that a map from ℂ to a suitably defined nerve of Cat is precisely a skew-monoidal category (Buckley et al. 2014). We extend this result to the case of skew monoidales internal to any monoidal bicategory . We then show that monoidal bicategories themselves are classified by maps from ℂ to a suitably defined nerve of Bicat and extend this result to obtain a definition of skew-monoidal bicategory that aligns with existing theory.