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.
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