fibration
C29386
concept
A fibration is a structure-preserving map between spaces (often in topology or category theory) that behaves like a fiber bundle, allowing one to consistently view the domain as being “fibered” over the codomain.
All labels observed (7)
| Label | Occurrences |
|---|---|
| fibration canonical | 2 |
| circle bundle | 1 |
| fiber bundle | 1 |
| fiber bundle (up to singular fibers) | 1 |
| fibration in topology | 1 |
| principal bundle | 1 |
| type of fibration | 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: fibration
Generated description
A fibration is a structure-preserving map between spaces (often in topology or category theory) that behaves like a fiber bundle, allowing one to consistently view the domain as being “fibered” over the codomain.
Instances (6)
| Instance | Via concept surface |
|---|---|
| Milnor fibration | — |
| Lefschetz fibration | fibration in topology |
| Hopf fibration | fiber bundle |
| Hitchin fibration | — |
| Serre fibration | type of fibration |
|
Seifert fibered space
linked to:
Seifert fibered spaces
|
fiber bundle (up to singular fibers) |