An enriched small object argument over a cofibrantly generated base
| Authors | |
|---|---|
| Year of publication | 2025 |
| Type | Article in Periodical |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | JURKA, Jan. An enriched small object argument over a cofibrantly generated base. Theory and Applications of Categories. Mount Allison University, 2025, vol. 44, No 16, p. 439-473. ISSN 1201-561X. |
| web | http://www.tac.mta.ca/tac/volumes/44/16/44-16.pdf |
| Keywords | enriched category; small object argument; weak factorization system; copower; Day convolution; actegory |
| Description | 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. |
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