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As far as I can tell, literally the only examples given here are the classes of injections and surjections in the category of sets. I think the page might be better with some more examples.
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factorization system, whereas (Surjections, Injections) is a factorization system.
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because it is false : for example, in the category of sets, every function
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In the section "Equivalent definition", I have removed the part
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