show that there is no immersion of [S][/n] into [R][/n]
Jul 12, 2008 #3 roam 1,271 12 By definition; [tex]f : S^{n}\rightarrow R^n[/tex] is an immersion if; [tex]D_{p}f : T_{p}S^n \rightarrow T_{f(p)}R^n[/tex]
By definition; [tex]f : S^{n}\rightarrow R^n[/tex] is an immersion if; [tex]D_{p}f : T_{p}S^n \rightarrow T_{f(p)}R^n[/tex]