Diffeomorphism

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Definition

A diffeomorphism[1] is a special kind of homeomorphism, a function f is said to be a diffeomorphism if:

  • f is bijective
  • f is smooth (all partial derivatives of all orders are continuous)
  • f−1 is also smooth

References

  1. Jump up ↑ Introduction to smooth manifolds - John M Lee - Second Edition
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