Main article: Duality (mathematics) In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Alexander duality Alvis–Curtis duality Araki duality Beta-dual space Coherent duality De Groot dual Dual abelian variety Dual basis in a field extension Dual bundle Dual curve Dual (category theory) Dual graph Dual group Dual object Dual pair Dual polygon Dual polyhedron Dual problem Dual representation Dual q-Hahn polynomials Dual q-Krawtchouk polynomials Dual space Dual topology Dual wavelet Duality (order theory) Duality of stereotype spaces Duality (projective geometry) Duality theory for distributive lattices Dualizing complex Dualizing sheaf Eckmann–Hilton duality Esakia duality Fenchel's duality theorem Haag duality Hodge dual Jónsson–Tarski duality Lagrange duality Langlands dual Lefschetz duality Local Tate duality Opposite category Poincaré duality Twisted Poincaré duality Poitou–Tate duality Pontryagin duality S-duality (homotopy theory) Schur–Weyl duality Serre duality Spanier–Whitehead duality Stone's duality Tannaka–Krein duality Verdier duality Philosophy Main article: Dualism Dualism (philosophy of mind) Science: Engineering Duality (electrical circuits) Duality (mechanical engineering) Science: Physics Complementarity (physics) Dual resonance model Duality (electricity and magnetism) Englert–Greenberger duality relation Holographic duality Kramers–Wannier duality Mirror symmetry Montonen–Olive duality Mysterious duality String duality S-duality T-duality U-duality Wave-particle duality |

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