Riemann sphere
Meaning
Noun
- 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.
- 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.
Related
Similar words
- extended complex numbers
- closed complex plane, extended complex plane
Origin
- Named after German mathematician Bernhard Riemann.
Modern English dictionary
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