- Thread starter
- Moderator
- #1

- Jan 26, 2012

- 995

-----

**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.

-----

Remember to read the POTW submission guidelines to find out how to submit your answers!