Let S = {(ξ; η; ζ ) ∈ Σ : ζ ≥ ζ₀g}, where 0 < ζ₀ < 1 and let T be the corresponding

set in C. Show that T is the exterior of a circle centered at 0.

Im really confused by this problem, can anyone please help me.

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- September 13th 2011, 12:57 PMhabsfan31Complex Analysis - Stereographic Projection
Let S = {(ξ; η; ζ ) ∈ Σ : ζ ≥ ζ₀g}, where 0 < ζ₀ < 1 and let T be the corresponding

set in C. Show that T is the exterior of a circle centered at 0.

Im really confused by this problem, can anyone please help me. - September 15th 2011, 02:01 AMFernandoRevillaRe: Complex Analysis - Stereographic Projection