An enriched small object argument over a cofibrantly generated base
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866916753037066240 |
|---|---|
| author | Jurka, Jan |
| author_facet | Jurka, Jan |
| contents | The small object argument is a method for transfinitely constructing weak factorization systems originally motivated by homotopy theory. We establish a variant of the small object argument that is enriched over a cofibrantly generated weak factorization system. This enriched variant of the small object argument subsumes the ordinary small object argument for categories and also certain variants of the small object argument for 2-categories, (2,1)-categories, dg-categories and simplicially enriched categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_05974 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An enriched small object argument over a cofibrantly generated base Jurka, Jan Category Theory 18D20, 18N40 The small object argument is a method for transfinitely constructing weak factorization systems originally motivated by homotopy theory. We establish a variant of the small object argument that is enriched over a cofibrantly generated weak factorization system. This enriched variant of the small object argument subsumes the ordinary small object argument for categories and also certain variants of the small object argument for 2-categories, (2,1)-categories, dg-categories and simplicially enriched categories. |
| title | An enriched small object argument over a cofibrantly generated base |
| topic | Category Theory 18D20, 18N40 |
| url | https://arxiv.org/abs/2401.05974 |