Recent content by Philip2016

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    N-spheres as closed C^inf-manifold

    Homework Statement I need to prove that the unit n-sphere is a closed C^inf-manifold, and am not sure what to do. Homework Equations The unit n-sphere is defined as: S^n = {(x_0,...,x_n) belongs to R^(n+1) | (x_0)^2+...+(x_n)^2=1} The Attempt at a Solution It's not a proof, but a simple...