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This category contains results about Diffeomorphisms.
Definitions specific to this category can be found in Definitions/Diffeomorphisms.

Let $n$ and $k$ be natural numbers.

Let $U,V\subset \R^n$ be open sets.

Let $f : U \to V$ be a mapping.

Then $f$ is a $C^k$-diffeomorphism if and only if $f$ is a bijection of class $C^k$ with an inverse of class $C^k$.

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