Poincaré duality
Dualidad de Poincaré
- Date
- 1893 · confidence high
- Place
- Paris, France
- Credited to
- Henri Poincaré
- Field
- Knowledge & symbols
What was discovered
A fundamental theorem of algebraic topology relating the homology and cohomology groups of a compact, orientable manifold, revealing an internal symmetry in its topological structure.
What it led to
- essential tool in the modern study of manifolds
- basis for the development of De Rham cohomology
- influence on 20th-century algebraic topology and differential geometry