2013/12/13 by Dimitri Chikhladze, Chikhladze, Dimitri
Computer Science · Mathematics · #18D05 #18D50 #Advanced Algebra and Logic #Category Theory (math.CT) #FOS: Mathematics #math.CT #msc:18D05 #msc:18D50
paper · pdf · doi:10.48550/arxiv.1312.3912
This preliminary preprint has been withdrawn by the author, instead see arxiv:1412.4628
openalex publication_date 2013/12/13 · arxiv created 2014/12/16 · arxiv updated 2014/12/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.