Definition:Extended Complex Plane

Definition
The extended complex plane $\overline \C$ is defined as:


 * $\overline \C := \C \cup \set \infty$

that is, the set of complex numbers together with the point at infinity.

Also known as
Some sources report this as the entire complex plane or entire $z$ plane.

The notation $\C_\infty$ can often be seen.

Also see

 * Definition:Extended Real Number Line
 * Definition:Alexandroff Extension