I have problem understanding of the quotient concept.
(I could understand a quotient manifold very basis, I guess,
for example, a square space, and any point map to straight line, then those line divide the square space. )
I want to ask a silly question,
if I consider that a sphere (2D) is a manifold M',
then a Euclidean space (3D) could be the quotient manifold M, corresponding to this sphere?
or is this the opposite,
Euclidean space (3D) a manifold M', then sphere (2D) could be the corresponding quotient manifold
thank you very much
have a nice day