Editing Carathéodory's theorem

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

*[[Carathéodory's theorem (conformal mapping)]], about the extension of conformal mappings to the boundary
*[[Carathéodory's theorem (convex hull)]], about the convex hulls of sets in  <math>\R^d</math>
*[[Carathéodory's existence theorem]], about the existence of solutions to ordinary differential equations
*[[Carathéodory's extension theorem]], about the extension of a measure
*[[Carathéodory–Jacobi–Lie theorem]], a generalization of Darboux's theorem in symplectic topology
*[[Carathéodory's criterion]], a necessary and sufficient condition for a [[Measure (mathematics)|measurable set]]
*[[Carathéodory kernel theorem]], a geometric criterion for local uniform convergence of univalent functions 
*[[Borel–Carathéodory theorem]], about the boundedness of a complex analytic function
*[[Vitali–Carathéodory theorem]], a result in real analysis

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[[Category:Mathematics disambiguation pages]]
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