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

[hadi amiri 4]

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

 

[hadi amiri 4]

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

 

[roam]

By definition;

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

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