Uniqueness theorem

In mathematics, a uniqueness theorem is a theorem proving that certain conditions determine a unique solution. Examples of uniqueness theorems include:

• Alexandrov's uniqueness theorem of three-dimensional polyhedra
• Black hole uniqueness theorem
• Fundamental theorem of arithmetic, the uniqueness of prime factorization.
• Holmgren's uniqueness theorem for linear partial differential equations with real analytic coefficients.
• Picard–Lindelöf theorem, the uniqueness of solutions to first-order differential equations.
• Thompson uniqueness theorem in finite group theory.
• Uniqueness theorem for Poisson's equation
• Uniqueness case in finite group theory

See also

• Rigidity (mathematics)
• Uniqueness quantification