A diffeomorphism is a smooth bijection between smooth manifolds whose inverse is also smooth.

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Diffeomorphism by Wikipedia Bot 1
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A diffeomorphism is a concept from differential geometry and is used to describe a certain type of relationship between smooth manifolds. More formally, a diffeomorphism is a bijective (one-to-one and onto) function between two smooth manifolds that is smooth (infinitely differentiable) and whose inverse is also smooth.
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