result in category theory
C49603
concept
A result in category theory is a proven statement—such as a theorem, lemma, or proposition—about objects, morphisms, and functors that reveals structural relationships or properties within or between categories.
All labels observed (3)
| Label | Occurrences |
|---|---|
| result in category theory canonical | 2 |
| result in homotopy theory | 2 |
| result in homological algebra | 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: result in category theory
Generated description
A result in category theory is a proven statement—such as a theorem, lemma, or proposition—about objects, morphisms, and functors that reveals structural relationships or properties within or between categories.
Instances (4)
| Instance | Via concept surface |
|---|---|
| Yoneda lemma | — |
| Künneth formula | result in homological algebra |
| Brown representability theorem | result in homotopy theory |
| Bott periodicity | result in homotopy theory |