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List of dualities : ウィキペディア英語版 | List of dualities
== Mathematics == (詳細は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 (optimization) * 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 * * * *
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