Differences
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| Both sides previous revision Previous revision | Next revision Both sides next revision | ||
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smooth_atlas [2014/12/04 15:57] nikolaj |
smooth_atlas [2014/12/04 16:40] nikolaj |
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| | @#FFFDDD: forall | @#FFFDDD: $\langle V,\phi\rangle,\langle W,\psi\rangle\in A$ | | | @#FFFDDD: forall | @#FFFDDD: $\langle V,\phi\rangle,\langle W,\psi\rangle\in A$ | | ||
| | @#55EE55: postulate | @#55EE55: $\phi\circ\psi^{-1}$ ... smooth | | | @#55EE55: postulate | @#55EE55: $\phi\circ\psi^{-1}$ ... smooth | | ||
| - | |||
| - | >todo: "$\phi\circ\psi^{-1}$" in the last line doesn't make sense a priori - their domains/have to be restricted. | ||
| ==== Discussion ==== | ==== Discussion ==== | ||
| + | === Formalities === | ||
| + | "$\phi\circ\psi^{-1}$" in the last line doesn't make sense a priori - their domains/have to be restricted approprietly. | ||
| + | |||
| === Idea === | === Idea === | ||
| For a smooth atlas there are smooth coordinate changes on $\mathbb R^n$. | For a smooth atlas there are smooth coordinate changes on $\mathbb R^n$. | ||
