Examples
Examples with topological descriptions (≈ denotes homeomorphism):
- A = C complex plane : P(C) ≈ S2 = Riemann sphere
- A = H quaternion ring : P(H) ≈ S4 = One-point compactification
- A = D dual number plane : P(D) = D ∪ { U(1, x n): x ∈ R}, nn = 0
- A = M split-complex plane : P(M) ≈ hyperboloid of one sheet.
Read more about this topic: Inversive Ring Geometry
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