Publication details
The Gray tensor product via factorisation
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Applied Categorical Structures |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/article/10.1007/s10485-016-9467-6 |
| Doi | http://dx.doi.org/10.1007/s10485-016-9467-6 |
| Field | General mathematics |
| Keywords | Monoidal category; Factorisation system; Lawvere theory |
| Attached files | |
| Description | We discuss the folklore construction of the Gray tensor product of 2-categories as obtained by factoring the map from the funny tensor product to the cartesian product. We show that this factorisation can be obtained without using a concrete presentation of the Gray tensor product, but merely its defining universal property, and use it to give another proof that the Gray tensor product forms part of a symmetric monoidal structure. The main technical tool is a method of producing new algebra structures over Lawvere 2-theories from old ones via a factorisation system. |