Riemann Sphere
The Riemann sphere is a name given to the complex plane together with a point at infinity, which has the topology of a sphere.
Riemann sphere is a college-level concept that would be first encountered in a complex analysis course.
Prerequisites
Complex Number: | A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane. |
Complex Plane: | The complex plane is a term for the set of all complex numbers. Just as all real numbers can be imagined as lying on a line, all complex numbers can be thought of as points in a plane. |
Sphere: | A sphere is the set of all points in three-dimensional space that are located at a fixed distance from a given point. |