Hello every one .
first of all consider the 2-dim. topological manifold case
My Question : is there any difference between
$$f \times g : R \times R \to R \times R$$
$$(x,y) \to (f(x),g(y))$$
and $$F : R^2 \to R^2$$
$$(x,y) \to (f(x,y),g(x,y))$$
Consider two topological...