Riemann sphere (English, noun)
expansion: Riemann sphere (plural Riemann spheres)
Senses:
topics: complex-analysis
mathematics
sciences
topology
glosses: 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.
topics: complex-analysis
mathematics
sciences
topology
glosses: The 2-sphere embedded in Euclidean three-dimensional space and often represented as a unit sphere, regarded as a homeomorphic representation of the extended complex plane and thus the extended complex numbers.
Forms:
form: Riemann spheres
tags: plural