Quantcast immersion Text - Physics Forums Library

PDA

View Full Version : immersion


hadi amiri 4
Jul12-08, 03:45 AM
show that there is no immersion of [S][/n] into [R][/n]

hadi amiri 4
Jul12-08, 03:49 AM
show that there is no immersion of S^n into R^n

roam
Jul12-08, 11:07 PM
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