Hello,

i try to solve this exercise, but i don't understand it really:

"A subset A of a manifold M has measure zero if x(A) $\displaystyle \subset \mathbb{R}^m$ has measure zero for all coordinate system x $\displaystyle \in $A.

Show that this definition is consistent and that is suffices to check this property for any atlas."

My question is: what does "consistent" mean? Have you an idea?

Thank you in advance

Regards