Accessible aspects of 2-category theory
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Pure and Applied Algebra |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.jpaa.2020.106519 |
| Doi | http://dx.doi.org/10.1016/j.jpaa.2020.106519 |
| Keywords | Accessible category; 2-category; Pseudomorphism |
| Description | Categorical structures and their pseudomaps rarely form locally presentable 2-categories in the sense of Cat-enriched category theory. However, we show that if the categorical structure in question is sufficiently weak (such as the structure of monoidal, but not strict monoidal, categories) then the 2-category in question is accessible. Furthermore, we explore the flexible limits that such 2-categories possess and their interaction with filtered colimits. |
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