What phi is an isomorphism

Reference no: EM13123986

Forgetful functor
Let Phi : P -----> S be the forgetful functor. Suppose that Phi (f) is an isomorphism. Is f then an isomorphism? Alternatively, suppose that Phi (G) and Phi (G') are isomorphic in S. Are G and G' then isomorphic in P?

Reference no: EM13123986

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