KnowraRiemann sphereLinked fromLinked fromThe 9 pages that link to Riemann sphere, each with the reason it gives.All 9Broader topic 1Related 6Compared with 2Complex planeCompared with: It gives a spherical model of the plane with a point at infinity.Riemann mapping theoremRelated: The omitted point in the theorem's proper-domain condition is naturally represented as infinity.Uniformization theoremBroader topic: The sphere is the uniformizing model for the simply connected surface of positive curvature.Stereographic projectionRelated: This identification turns planar complex numbers into points on the sphere.Normal familyRelated: Spherical convergence treats meromorphic values as points on this compact target.Complex dynamicsRelated: Adding infinity makes polynomial and rational dynamics behave naturally at escape.Mittag-Leffler theoremRelated: On the sphere, global constraints on meromorphic functions restrict which pole data are possible.Extended real number lineCompared with: Its single complex infinity is not two ordered endpoints.Casorati–Weierstrass theoremRelated: On the sphere, an essential singularity has no single limiting value, complementing the plane’s density statement.