Colimit-dense subcategories
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Periodical |
| Magazine / Source | Commentationes Mathematicae Universitatis Carolinae |
| MU Faculty or unit | |
| Citation | |
| Web | https://dml.cz/handle/10338.dmlcz/147976 |
| Doi | http://dx.doi.org/10.14712/1213-7243.2019.021 |
| Keywords | locally presentable category; colimit-dense subcategory; Vopěnka’s principle |
| Description | Among cocomplete categories, the locally presentable ones can be defined as those with a strong generator consisting of presentable objects. Assuming Vopenka’s Principle, we prove that a cocomplete category is locally presentable if and only if it has a colimit dense subcategory and a generator consisting of presentable objects. |
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