Serre Fibration

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External reading guide · Graduate

Lifting homotopies from disks relates the homotopy groups of a fiber, total space, and base. The long exact sequence extends the lifting viewpoint already familiar from covering spaces.

Before opening the references

Covering Space · Homotopy of Maps · higher homotopy group

Where to read

  1. Start here: Algebraic Topology

    Allen Hatcher · Book · English · Free full text

    §4.2, Fiber Bundles, Theorem 4.41 and the subsequent definition of Serre fibration, printed pp. 375–376

    Source page · Checked 2026-10-16

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Algebraic Topology & Homotopy Theory in the library · Preparation and skip guidance

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