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Holomorphic vector bundleHolomorphic functionHilbert projection theoremSchwarz lemmaComplexificationAntiderivativeBloch's theoremTietze extension theoremMeromorphic functionIdentity theoremLefschetz fixed-point theoremIsometry groupCauchy's integral theoremDomainEntire functionHomeomorphismQuasiconvex functionHarmonic mapBlaschke productUniform continuitySimply connected spaceInverse function theoremJordan curve theoremRiemannian geometryComplex lie groupComplemented subspaceLevi-civita connectionComplex manifoldBorel setRemovable singularityBanach fixed-point theoremExponential mapHurewicz theoremSymmetric spaceSimple pathGraph of a functionDiscrete spectrumContraction mappingDini's theoremBijectionSheaf of modulesFunction of a real variableLoopClosed graph theoremUrysohn's lemmaQuasiconformal mappingComplex numberRiemann surfaceContact geometryRegular measureBergman spaceSet functionMinkowski's theoremRademacher's theoremCompact operatorFinite morphismEuclidean domainSurjective functionSeparable spaceOrder topologyMaximum modulus principleComplex planeFisher information metricPullbackToric varietyDegree of a continuous mappingOpen and closed mapsContinuumLinear functionDimensionRegular spaceHolonomic basisConformally flat manifoldHarmonic conjugateSingular measureGrothendieck groupFoliationHopf fibrationPathMorera's theoremDirichlet's approximation theoremIsometryMeasurable functionRadon transformCircle groupResidually finite groupBounding sphereComplex torusRiemann hypothesisStieltjes transformationContinuous linear operatorRiemann zeta functionSymmetric bilinear formSkew gradientPontryagin dualityRiemannian manifoldSymplectic manifoldAffine groupComplete metric spaceInclusion map