Notions of enriched purity
| Autoři | |
|---|---|
| Rok publikování | 2024 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Theory and Applications of Categories |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.tac.mta.ca/tac/volumes/41/58/41-58abs.html |
| Klíčová slova | enriched accessible categories; enriched purity; enriched injectivity classes |
| Popis | We introduce enriched notions of purity depending on the left class E of a factorization system on the base V of enrichment. Ordinary purity is given by the class of surjective mappings in the category of sets. Under specific assumptions, covering enrichment over quantale-valued metric spaces, ?-complete posets, and quasivarieties, we characterize the (?, E)-injectivity classes of locally presentable V-categories in terms of closure under a class of limits, ?-filtered colimits, and (?,E)-pure subobjects. |
| Související projekty: |