Mergelyan's and Arakelian's theorems for manifold-valued maps

zbMath1475.30088arXiv1801.04773MaRDI QIDQ5112489

Franc Forstnerič

Publication date: 29 May 2020

Full work available at URL: https://arxiv.org/abs/1801.04773

zbMATH Keywords

Riemann surfaceholomorphic maphomogeneous manifoldMergelyan's theoremOka manifoldelliptic manifoldArakelian's theorem

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Stein spaces (32E10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

Related Items (3)

Recent developments on Oka manifolds ⋮ Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan ⋮ Immersions of open Riemann surfaces into the Riemann sphere

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