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a map of sets f a b is...

Question: a map of sets f a b is...

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A map of sets f : A → B is an epimorphism if and only if at satisfies the following property: For any set C and maps g, h from B to C, if g of-ho f, then g -h. (Here, go f denotes the composition of f with g) Show that a map of sets is an epimorphism if and only if it is surjective. Hint: maps g and h are equal if g(b) = h(b) for all b E B

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