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A fractional linear transformation (also called a Mobius transformation) is a map of the form: f ( z ) = c z + d a
A fractional linear transformation (also called a Mobius transformation) is a map of the form: f(z)=cz+daz+b for a,b,c,d are complex numbers and adbc=0 . How to prove that f is a bijective map from the Riemann sphere S to the Riemann sphere S?
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