# Category:Duality theories

Here is a list of articles in the category **Duality theories** of the Philosophy portal. 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

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Duality theories"

The following 71 pages are in this category, out of 71 total.

### *

- Duality (mathematics)
*(computing)* - List of dualities
*(computing)*

### A

- Dual abelian variety
*(computing)* - Alexander duality
*(computing)* - Alexander–Spanier cohomology
*(computing)* - Alvis–Curtis duality
*(computing)* - Artin–Verdier duality
*(computing)*

### B

- Born reciprocity
*(physics)*

### C

- Dual (category theory)
*(computing)* - Coherent duality
*(computing)* - Combinatorial mirror symmetry
*(computing)* - Convex conjugate
*(computing)*

### D

- De Morgan's laws
*(computing)* - Dual impedance
*(computing)* - Duality (electricity and magnetism)
*(physics)*

### E

- Eckmann–Hilton duality
*(computing)* - Duality (electrical circuits)
*(philosophy)* - Envelope (category theory)
*(computing)*

### F

- Fei–Ranis model of economic growth
*(philosophy)*

### G

- Gallai–Hasse–Roy–Vitaver theorem
*(computing)* - General frame
*(computing)* - Dual graph
*(computing)* - Grothendieck local duality
*(computing)* - Group scheme
*(computing)*

### H

- Hodge star operator
*(computing)* - Homological mirror symmetry
*(computing)*

### I

- Intersection homology
*(computing)*

### K

- Koszul duality
*(computing)*

### L

- Lefschetz duality
*(computing)* - Legendre transformation
*(physics)* - Local cohomology
*(computing)* - Local Tate duality
*(computing)*

### M

- Dual matroid
*(computing)* - Duality (mechanical engineering)
*(philosophy)* - Montonen–Olive duality
*(physics)* - Morita equivalence
*(computing)*

### N

- Noncommutative harmonic analysis
*(computing)*

### O

- Duality (order theory)
*(computing)*

### P

- Dual pair
*(computing)* - Dual system
*(computing)* - Poincaré duality
*(computing)* - Poincaré complex
*(computing)* - Dual polyhedron
*(computing)* - Pontryagin duality
*(computing)* - Duality (projective geometry)
*(computing)*

### R

- Refinement (category theory)
*(computing)* - Reflexive module
*(computing)* - Reflexive space
*(computing)* - Riesz representation theorem
*(computing)* - Riesz–Markov–Kakutani representation theorem
*(computing)*

### S

- Seiberg duality
*(physics)* - Semi-reflexive space
*(computing)* - Serre duality
*(computing)* - Six operations
*(computing)* - Dual space
*(computing)* - Spanier–Whitehead duality
*(computing)* - Stereotype algebra
*(computing)* - Stereotype space
*(computing)* - Stokes' theorem
*(computing)* - Stone duality
*(computing)* - Supporting functional
*(computing)* - Supporting hyperplane
*(computing)* - SYZ conjecture
*(computing)*

### T

- Tannaka–Krein duality
*(computing)* - Tannakian formalism
*(computing)* - Tate duality
*(computing)* - Tutte polynomial
*(computing)* - Twisted Poincaré duality
*(computing)*

### V

- Verdier duality
*(computing)*

### W

- Wave–particle duality
*(physics)* - Dual wavelet
*(computing)*