In mathematics, a classification theorem answers the classification problem: "What are the objects of a given type, up to some equivalence?". It gives a non-redundant enumeration: each object is equivalent to exactly one class.
Geometry
• • Classification of Platonic solids • Classification theorems of surfaces • • of algebraic surfaces (complex dimension two, real dimension four) • which characterizes homeomorphisms of a compact surface • Thurston's eight model geometries, and the • • • • ==Algebra==
Algebra
• • • • • • — a classification theorem for semisimple rings • • • Classification of Simple Lie algebras and groups • • • • • • • ==Linear algebra==
Linear algebra
• s (by dimension) • (by rank and nullity) • • • (rational canonical form) • ==Analysis==