Transition map

Let $(𝑥, 𝑈)$ and $(𝑦, 𝑉)$ be charts of a $𝑛$ -dimensional manifold $𝑀$ such that $𝑈 \cap 𝑉 \neq \emptyset$ . Then there exists a transition map $𝑦 𝑥 - 1 : 𝑥 (𝑈 \cap 𝑉) \to 𝑦 (𝑈 \cap 𝑉)$ which is a homeomorphism. #m/def/geo/diff

#state/tidy | #lang/en | #SemBr