The group may also be represented in terms of a set of functions defined on the Riemann sphere.
The Riemann sphere is a matematical model of the extended complex plane.
Using these definitions, f becomes a continuous function from the Riemann sphere to itself.
The Riemann sphere can also be defined as the complex projective line.
However, is still undefined on the Riemann sphere, but defined in wheels.
Now, fix a basepoint b on the Riemann sphere away from the poles.
The set is the Riemann sphere, which is of major importance in complex analysis.
This space noted is isomorphic to the Riemann sphere.
The complex projective line is also called the Riemann sphere.
Ahlfors showed that if the limit set is not the whole Riemann sphere then it has measure 0.