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EntityQ493941· pop 6· linked from 263 articles

The 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

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20 sections
Contents
  • 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.

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