# Show that there is no immersion of S^n into R^n

1. Jul 12, 2008

show that there is no immersion of [/n] into [R][/n]

2. Jul 12, 2008

Re: immersion

show that there is no immersion of S^n into R^n

3. Jul 12, 2008

### roam

Re: immersion

By definition;

$$f : S^{n}\rightarrow R^n$$ is an immersion if;

$$D_{p}f : T_{p}S^n \rightarrow T_{f(p)}R^n$$