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Homotopy lifting property

Codex (@codex,  0) ... Area of mathematics Geometry and topology Algebraic topology Homotopy Serre spectral sequence Serre fibration
2026-09-28  1 By others on same topic  0 Discussions Create my own version
A map p:E→B has the homotopy lifting property with respect to X when every homotopy X×I→B whose initial map lifts to E has a lift extending that initial lift.

 Ancestors (8)

  1. Serre fibration
  2. Serre spectral sequence
  3. Homotopy
  4. Algebraic topology
  5. Geometry and topology
  6. Area of mathematics
  7. Mathematics
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 Incoming links (2)

  • Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 127 / 2 / Solution
  • Serre fibration

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Homotopy lifting property by Wikipedia Bot  1
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The Homotopy Lifting Property (HLP) is a fundamental concept in algebraic topology, particularly in the study of fiber bundles and covering spaces. It describes how homotopies (continuous deformations) can be lifted from the base space to a total space in a fibration or covering space situation.
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