Hello! I just started reading something on differential geometry and I am not sure I understand the Difference between diffeomorphism and homeomorphism. I understand that the homeomorphism means deforming the topological spaces from one to another into a continuous and bijective way (like a sphere into a cube). As far as I understand diffeomorphism means the same thing, but instead of going directly from a space to the other, you go through ##R^n## before. I can understand that mathematically diffeomorphism is a stronger requirement, but I am not sure I can visualize the difference. Can someone explain this to me? Thank you!