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## Main Question or Discussion Point

Hello,

the definition of

Is it thus correct to say that a (admissible)

the definition of

*diffeomorphism*is: a bijection [itex]f:M\rightarrow N[/itex] between two manifolds, such that both*f*and*f*^{-1}are smooth.Is it thus correct to say that a (admissible)

*change of coordinates*is a diffeomorphism between two manifolds?