Comment by BigTTYGothGF
3 months ago
In particular, consider two intersecting planes. You can put all the discs you like on that surface, but it's not a manifold because on the line of intersection it's not locally R2.
3 months ago
In particular, consider two intersecting planes. You can put all the discs you like on that surface, but it's not a manifold because on the line of intersection it's not locally R2.
The position of the points on the surface can be changed without worrying about the topology and its the topology we are worried about