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Extended Complex Plane


The extended complex plane is the name given to the complex plane with a point at infinity attached: C union {infty^~}, where infty^~ denotes complex infinity. It is also called the Riemann sphere and is various denoted C^* or C^^.


See also

C-*, Complex Infinity, Complex Plane, Riemann Sphere

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References

Krantz, S. G. "The Topology of the Extended Complex Plane." §6.3.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 83, 1999.

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Extended Complex Plane

Cite this as:

Weisstein, Eric W. "Extended Complex Plane." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ExtendedComplexPlane.html

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