Are there applications of the small object argument outside of its original application of constructing the factorisation for a model category?
2025-01-13 02:50:40.1736736640
Applications of small object argument outside model categories.
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You can use the small object argument to solve the orthogonal subcategory problem. Of course, that is simply because this is a special case of the construction of (functorial) orthogonal factorisation systems, which is in turn a special case of the construction of (functorial) weak factorisation systems.