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I just noticed that there is a handful of examples at factorization system. Since that is essentially a disambiguation page, shouldn’t they be at orthogonal factorization system instead?
Ah, yes, that would be better.
(I can’t do it right this second, sorry..)
Well, actually only one of them was an example of an ordinary orthogonal factorization system, and it was already listed at orthogonal factorization system. The others were either 2-categorical ones (already listed at factorization system in a 2-category) or (∞,1)-categorical ones (already listed at factorization system in an (infinity,1)-category). So I removed them all. The page factorization system already says “Particular examples of factorization systems of various sorts can be found on the individual pages referred to above.”
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