- Thread starter
- Moderator
- #1
- Jan 26, 2012
- 995
Here's this week's problem.
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Problem: Let $M_1$, $M_2$ and $N$ be smooth manifolds. Show that $F=(f_1,f_2) : N\rightarrow M_1\times M_2$ is a smooth map if and only if $f_i : N\rightarrow M_i,\,i=1,2$ are smooth maps.
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Remember to read the POTW submission guidelines to find out how to submit your answers!
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Problem: Let $M_1$, $M_2$ and $N$ be smooth manifolds. Show that $F=(f_1,f_2) : N\rightarrow M_1\times M_2$ is a smooth map if and only if $f_i : N\rightarrow M_i,\,i=1,2$ are smooth maps.
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Remember to read the POTW submission guidelines to find out how to submit your answers!