Publication details
Skew structures in 2-category theory and homotopy theory
| Authors | |
|---|---|
| Year of publication | 2017 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Homotopy and Related Structures |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/article/10.1007%2Fs40062-015-0121-z |
| Doi | http://dx.doi.org/10.1007/s40062-015-0121-z |
| Field | General mathematics |
| Keywords | Skew monoidal category; Quillen model category; 2-category |
| Attached files | |
| Description | We study Quillen model categories equipped with a monoidal skew closed structure that descends to a genuine monoidal closed structure on the homotopy category. Our examples are 2-categorical and include permutative categories and bicategories. Using the skew framework, we adapt Eilenberg and Kelly’s theorem relating monoidal and closed structure to the homotopical setting. This is applied to the construction of monoidal bicategories arising from the pseudo-commutative 2-monads of Hyland and Power. |