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Homotopy class ([f]∈[X,Y])

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Algebraic topology Homotopy
2026-10-05  0 By others on same topic  0 Discussions Create my own version
An equivalence class of continuous maps under homotopy, with any endpoint or boundary restrictions specified. Unbased loop classes are free homotopy classes; periods of a closed differential form are constant on such classes.

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  1. Homotopy
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 Incoming links (6)

  • Extremal length lower bound from a closed one-form
  • Flat metric of a quadratic differential
  • Past exam of the mathematics course of the University of Cambridge / 2017 / iii / Paper 132 / 3 / c / Solution
  • Path family
  • Reich–Strebel inequality
  • Teichmüller's uniqueness theorem

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