Carathéodory's theorem

• Borel–Carathéodory theorem
• Carathéodory kernel theorem
• Carathéodory's criterion
• Carathéodory's existence theorem
• Carathéodory's extension theorem
• Carathéodory's theorem (conformal mapping)
• Carathéodory's theorem (convex hull)
• Carathéodory–Jacobi–Lie theorem
• Constantin Carathéodory
• Measure (mathematics)
• Vitali–Carathéodory theorem