Dmitri Goloubentsev, Evgeny Lakshtanov and Vladimir Piterbarg explain in mathematical terms, and demonstrate using a simple example, how the automatic implicit function theorem, a special version of ...
We prove a version of the implicit function theorem for Lipschitz mappings ƒ : ℝn+m ⊃ A → X into arbitrary metric spaces. As long as the pull-back of the Hausdorff content H ∞ n by ƒ has positive ...
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