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Mar 22, 2011 at 22:16 comment added Buschi Sergio A little more "hard" is the analogous assert about epimorphisms (see Mitchell Theory of Categories$ p. 38).
Jul 18, 2010 at 17:24 comment added Martin Brandenburg Regarding the last paragraph: If $C \to Set$ is a faithful functor which has a left-adjoint, then $f$ is a monomorphism in $C$ if and only if it is injective.
Jul 18, 2010 at 17:16 history edited Georges Elencwajg CC BY-SA 2.5
replaced "monomomorphism" by "monomorphism"
Jul 18, 2010 at 15:41 history answered Georges Elencwajg CC BY-SA 2.5