Category:Duality theories

The idea of mathematical duality was first noticed as projective duality. There it appears as the idea of interchanging dimension k and codimension k+1 in propositions of projective geometry. A large number of duality theories have now been created in mathematics, ranging as far as optimization theory and theoretical physics.

Subcategories

There are 3 subcategories to this category.

A

• Adjoint functors

C

• Closure operators

S

• Self-dual polyhedra

Pages in category "Duality theories"

There are 39 pages in this section of this category.

* Duality (mathematics) A Alexander duality Alexander-Spanier cohomology C Coherent duality Convex conjugate D De Morgan's laws Dual (category theory) Dual graph Dual pair Dual polyhedron Dual space Dual wavelet Duality (order theory)

D cont. Duality (projective geometry) H Hodge dual Homological mirror symmetry I Intersection cohomology L Legendre transformation Local cohomology M Matroid Mirror symmetry Montonen-Olive duality Morita equivalence Mysterious duality P Poincaré duality Pontryagin duality R Reflexive space

R cont. Riesz representation theorem S S-duality Seiberg duality Serre duality Spanier-Whitehead duality Stokes' theorem Stone duality T T-duality Tannaka-Krein duality Tutte polynomial U U-duality W Wave-particle duality