This is a preview. Log in through your library . Abstract The inverse-function theorem is generalized to multivalued functions of the form f(x) + K, where f is a differentiable single-valued function ...

Let Fn be a free group of rank n with free basis x1, ⋯, xn. Let {y1, ⋯, yk} be a set of k ≤ n elements of Fn, where each yi is represented by a word Yi(x1, ⋯, xn) in the generators xj. Let ∂ yi/∂ xj ...