Show an example of a differentiable homeomorphism from a non-empty open set of $\mathbb{R^2}$ to an open set of $S^2$ that is not a parameterization.
I tried different functions but they were all parameterization, can anyone help me thanks.
2026-03-29 19:17:35.1774811855
Differentiable homeomorphism from a open set of $\mathbb{R^2}$ to an open set of $S^2$ that is not a parameterization
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