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Description

You can also do this:  
S3 = {(z, w) ∈ C2 | zz* + ww* = 1}  
S2 = C U {∞}  
f: (z, w) ↦ z/w  
S1((z, w)) = {(ze, we) | θ ∈ [0, 2π)}

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Comments

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Detailed syntax guide