About: List of dualities

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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.

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  • 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 * Artin–Verdier 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 * 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 * Series-parallel duality * Serre duality * Spanier–Whitehead duality * Stone's duality * Tannaka–Krein duality * Verdier duality * Grothendieck local duality (en)
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  • January 2020 (en)
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  • 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. (en)
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  • List of dualities (en)
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