duality theory
C28303
concept
Duality theory is a conceptual framework in mathematics and related fields that studies pairs of structures or problems that are interrelated in such a way that results and properties in one can be systematically translated into corresponding results and properties in the other.
All labels observed (8)
| Label | Occurrences |
|---|---|
| duality theory canonical | 2 |
| duality condition | 1 |
| duality operator | 1 |
| duality symmetry | 1 |
| duality transform | 1 |
| duality transformation | 1 |
| mathematical duality theory | 1 |
| topological duality theorem | 1 |
Description generation (CDg)
The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.
Instruction
generate a one-sentence description for a given conceptual class. # Response Format Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: duality theory
Generated description
Duality theory is a conceptual framework in mathematics and related fields that studies pairs of structures or problems that are interrelated in such a way that results and properties in one can be systematically translated into corresponding results and properties in the other.
Instances (9)
| Instance | Via concept surface |
|---|---|
| Slater’s condition | duality condition |
| Grothendieck duality | — |
| Kramers–Wannier duality in the Ising model | duality transformation |
| Verdier duality | — |
| Alexander duality | topological duality theorem |
| Pontryagin duality | mathematical duality theory |
| Legendre transformation | duality transform |
| T-duality | duality symmetry |
| Hodge star operator | duality operator |