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→Constructing new manifolds from old: Spelling/Grammar Check & Cleanup
*Suppose that <math>f:R^n \rightarrow R^m</math> is a differentiable function. Then <math>f^{-1}(y)</math> is a smooth manifold if ''y'' is a regular value of ''f''.
*Suppose that <math>f:R^n \rightarrow R^m</math> is a differentiable function. Then <math>f^{-1}(y)</math> is a smooth manifold if ''y'' is a regular value of ''f''.
[[category: Topology]]
[[Category:Topology]]
[[category:mathematics]]
[[Category:Mathematics]]