Example image of eyePlorer eyePlorer map for 'Poincaré duality': Cohomology Group (mathematics) Henri Poincaré Homology (mathematics) Manifold Mathematics Closed manifold Compact space Group isomorphism Orientability Betti number Analysis Situs (book) Intersection theory (mathematics) Poul Heegaard Cap product Cup product Eduard Čech Hassler Whitney Alexander-Spanier cohomology Fundamental class Dual polyhedron Functor Continuous function Natural transformation Free group Torsion (algebra) Universal coefficient theorem Lefschetz duality Sheaf (mathematics) Alexander polynomial Signature of a knot Homology theory K-theory Analytic space Intersection homology Mark Goresky Robert MacPherson Scheme (mathematics) Singularity theory Verdier duality Alexander duality Algebraic topology Hodge dual Spanier-Whitehead duality Chow ring Hodge conjecture Poincaré space Serre duality String diagram Tate twist