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List of dualities

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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.

Contents

  • 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
  • Philosophy

  • Dualism (philosophy of mind)
  • Yin and yang
  • 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
  • References

    List of dualities Wikipedia


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