Talk:Tangent space

Todo list

I need to:

• Define my own geometric tangent space as $$G_p(A)$$ because I really do not like $$\mathbb{R}^n_p$$ as done by Lee
• Define smooth better, so $C^\infty(M)$ makes more sense where $M$ is a manifold
• Update as needed in the index of notation and whatnot