Manifold

Transition map

Let (𝑥,𝑈) and (𝑦,𝑉) be charts of a 𝑛-dimensional manifold 𝑀 such that 𝑈 ∩𝑉 ≠∅. Then there exists a transition map 𝑦𝑥−1 :𝑥(𝑈 ∩𝑉) →𝑦(𝑈 ∩𝑉) which is a homeomorphism. diff

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