fibration
Sign in to saveThe notion of a fibration generalizes the notion of a fiber bundle and plays an important role in algebraic topology, a branch of mathematics.
~12 min read
Encyclopedic overview
20 sectionsContents
- Formal definitions
- Homotopy lifting property
- Fibration
- Serre fibration
- Quasifibration
- Examples
- Basic concepts
- Fiber homotopy equivalence
- Pullback fibration
- Pathspace fibration
- Properties
- Puppe sequence
- Principal fibration
- Long exact sequence of homotopy groups
- Hopf fibration
- Spectral sequence
- Orientability
- Euler characteristic
- See also
- References
The notion of a fibration generalizes the notion of a fiber bundle and plays an important role in algebraic topology, a branch of mathematics.
Fibrations are used, for example, in Postnikov systems or obstruction theory.
Excerpted from Wikipedia’s “fibration” article, available under the CC BY-SA 4.0 licence.