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Answer by Arturo Magidin for How is a full and faithful functor necessarily...
This is pretty much a "face the right way and follow your nose" argument. It's mainly about applying the definitions, which is probably why Wikipedia doesn't go into the details.Suppose $F$ is full and...
View ArticleHow is a full and faithful functor necessarily injective on objects up to...
I'm reading through the article Full and faithful functors on Wikipedia and am struggling with this point:A full and faithful functor is necessarily injective on objects up to isomorphism. That is, if...
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