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Jul 3, 2014 at 7:11 comment added goblin GONE In regards to point (1), we do not choose a faithful functor to set, rather $\mathcal{C}$ is equipped with such a functor.
Apr 10, 2012 at 17:16 comment added Jack Huizenga I agree. I have posed this as a separate question.
Apr 10, 2012 at 11:33 comment added Emil Jeřábek Point (2) begs the question whether every concrete category can be concretized in such a way that all monomorphisms are injective?
Apr 9, 2012 at 23:56 vote accept Zuriel
Apr 9, 2012 at 21:32 history answered Jack Huizenga CC BY-SA 3.0