Let's define an equivalence relation ~ on a disk (D^2) by stating that any two points on the boundary of a disk are equivalent. Obtained quotient space D^2/~=D^2/S^1 is homeomorphic to a 2-dimensional sphere (S^2).
One can also come up with the explicit quotient map, which is defined in the video.
Негізгі бет Sphere as the quotient space of a disk
Пікірлер: 6