Lax monads, equipments and generalized multicategory theory
Category Theory
2014-12-17 v2
Abstract
Generalized multicategories, also called -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 -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.
Cite
@article{arxiv.1312.3912,
title = {Lax monads, equipments and generalized multicategory theory},
author = {Dimitri Chikhladze},
journal= {arXiv preprint arXiv:1312.3912},
year = {2014}
}
Comments
This preliminary preprint has been withdrawn by the author, instead see arxiv:1412.4628