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    Identifying submanifolds

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    https://brainmass.com/math/manifolds/identifying-submanifolds-203261

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    Solution Summary

    One way to identify a subset of R^n as a manifold is to exhibit it as the level set of a continuous function whose derivative is non-zero on that level set. The solution comprises one page written in Word with equations in Mathtype illustrating the use of this theorem in one example.

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