Comment by BigTTYGothGF

3 months ago

> you can put a cd shaped object on

You're thinking of open sets.

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