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.
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