Model Theory of Epimorphisms

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Duration: 3 min 30 s
Description: Given a first-order theory T , welet be the category of models of T and homomorphisms between them. We shall show that a morphism A → B of is an epimorphism if and only if every element of B is definable from elements of A in a certain precise manner (see Theorem 1), and from this derive the best possible Cowell- power Theorem for .
Paul Bacsich
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