📜 Theorem, law or theory

Geometrization conjecture

Conjetura de Thurston

Date
c. 1982 · confidence low
Place
Princeton, New Jersey, United States
Credited to
William Thurston
Field
Knowledge & symbols

What was discovered

William Thurston's conjecture that every closed three-dimensional manifold can be canonically decomposed into pieces, each carrying one of eight possible geometric structures.

What it led to

  • Geometrization programme for three-dimensional manifolds
  • Framework that includes the Poincaré conjecture as a special case
  • Complete proof by Grigori Perelman in 2002-2003

Links

Sources✓ verified 2026-09-28