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Description:
You can also do this:
S<sub>3</sub> = {(z, w) ∈ C*2^ | zz + ww* = 1}
S<sub>2</sub> = C U {∞}
f: (z, w) ↦ z/w
S<sub>1</sub>((z, w)) = {(ze<sup>iθ</sup>, we<sup>iθ</sup>) | θ ∈ [0, 2π)}
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