Titlebook: Differential Manifolds; Serge Lang Textbook 19852nd edition Springer-Verlag New York Inc. 1985 Immersion.Submersion.Tensor.Volume.differen

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The Irrelevance of J.K. Rowlingormal definition. We then make manifolds into a category, and discuss special types of morphisms. We define the tangent space at each point, and apply the criteria following the inverse function theorem to get a local splitting of a manifold when the tangent space splits at a point.

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