Poincaré conjecture
FieldGeometric topology
Conjectured byHenri Poincaré
Conjectured in1904
First proof byGrigori Perelman
First proof in2006
Implied by
  • Geometrization conjecture
  • Zeeman conjecture
Equivalent to
  • Spherical space form conjecture
  • Thurston elliptization conjecture
GeneralizationsGeneralized Poincaré conjecture