Publication details
A FINITE APPROACH TO REPRESENTABLE MULTICATEGORIES AND RELATED STRUCTURES
| Authors | |
|---|---|
| Year of publication | 2026 |
| Type | Peer-reviewed scientific article |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | |
| web | http://www.tac.mta.ca/tac/volumes/45/10/45-10abs.html |
| Keywords | multicategories; skew monoidal categories; skew multicategories |
| Description | It is known that monoidal categories have a finite definition, whereas multicategories have an infinite (albeit finitary) definition. Since monoidal categories correspond to representable multicategories, it goes without saying that representable multicategories should also admit a finite description. With this in mind, we give a new finite definition of a structure called a short multicategory, which only has multimaps of dimension at most four, and show that under certain representability conditions short multicategories correspond to various flavours of representable multicategories. This is done in both the classical and skew settings. |