Last Updated
：2025/11/29
Riemann sphere
Noun
Japanese Meaning
複素数全体に∞を加えたもの。複素平面に無限遠点を追加することで得られる数学的対象であり、3次元ユークリッド空間の球面と同相になる。 / トポロジーや複素解析における概念。複素数体を一つの理想的な無限遠点によって拡張したもの。
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（ plural ）
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(topology, complex analysis) The complex numbers extended with the number ∞; the complex plane (representation of the complex numbers as a Euclidean plane) extended with a single idealised point at infinity and consequently homeomorphic to a sphere in 3-dimensional Euclidean space.
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Riemann sphere
When mapping meromorphic functions to the Riemann sphere, poles correspond to the added point at infinity.
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When mapping meromorphic functions to the Riemann sphere, poles correspond to the added point at infinity.
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