Geodesic
An enriched small object argument over a cofibrantly generated base
Theory and applications of categories, Tome 44 (2025), pp. 439-473.

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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.
Publié le :
Classification : 18D20, 18N40
Keywords: enriched category, small object argument, weak factorization system, copower, Day convolution, actegory 
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     author = {Jan Jurka},
     title = {An enriched small object argument over a cofibrantly generated base},
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     pages = {439--473},
     publisher = {mathdoc},
     volume = {44},
     year = {2025},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2025_44_a15/}
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Jan Jurka. An enriched small object argument over a cofibrantly generated base. Theory and applications of categories, Tome 44 (2025), pp. 439-473. http://geodesic.mathdoc.fr/item/TAC_2025_44_a15/