[[Manifold]]
# Transition map

Let $(x,U)$ and $(y,V)$ be [[Coördinate chart|charts]] of a $n$-dimensional [[manifold]] $M$ such that $U \cap V \neq \0$.
Then there exists a **transition map** $yx^{-1} : x(U \cap V) \to y(U \cap V)$ which is a [[homeomorphism]]. #m/def/geo/diff 

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