Poincaré theorem

Poincaré theorem may refer to:

• Poincaré conjecture, on homeomorphisms to the sphere;
• Poincaré recurrence theorem, on sufficient conditions for recurrence to take place in dynamical systems;
• Poincaré-Bendixson theorem, on the existence of attractors for two-dimensional dynamical systems;
• Poincaré–Birkhoff–Witt theorem, concerning lie algebras and their universal envelopes;
• Poincaré lemma.