I was reading about inversion of sphere. Wikipedia defines it as:
Let $f: S^2\to R^3$ be the standard embedding; then there is a regular homotopy of immersions $f_t\colon S^2\to R^3$ such that $f_0 = f $ and $f_1 = −f.$
I would like to know if such an inversion is impossible via embeddings. Thanks.