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    forgetful functor

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    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?

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    https://brainmass.com/math/linear-transformation/assessing-forgetful-functor-428698

    Solution Summary

    The solution assesses the forgetful functor.

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