Accessible infinity-cosmoi
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Pure and Applied Algebra |
| MU Faculty or unit | |
| Citation | |
| Web | Journal link |
| Doi | http://dx.doi.org/10.1016/j.jpaa.2022.107255 |
| Keywords | Higher category; accessible category |
| Attached files | |
| Description | We introduce the notion of an accessible infinity-cosmos and prove that these include the basic examples of infinity-cosmoi and are stable under the main constructions. A consequence is that the vast majority of known examples of infinity-cosmoi are accessible. By the adjoint functor theorem for homotopically enriched categories which we proved in an earlier paper, joint with Lukas Vokrinek, it follows, for instance, that all such infinity-cosmoi have flexibly weighted homotopy colimits. |
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