Carathéodory's theorem

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In mathematics, Carathéodory's theorem may refer to one of a number of results of Constantin Carathéodory:

• Carathéodory's theorem (convex hull) about the convex hulls of sets in Euclidean space
• Carathéodory's theorem (measure theory) about outer measures in measure theory
• Carathéodory's extension theorem about the extension of a measure.
• Carathéodory's theorem (conformal mapping)
• Borel–Carathéodory theorem, about the boundedness of a complex analytic function.
• Carathéodory-Jacobi-Lie theorem, a generalization of Darboux's theorem in symplectic topology.Template:Disambig