Homotopy Group - A List of Methods For Calculating Homotopy Groups

A List of Methods For Calculating Homotopy Groups

  • The long exact sequence of homotopy groups of a fibration.
  • Hurewicz theorem, which has several versions.
  • Blakers–Massey theorem, also known as excision for homotopy groups.
  • Freudenthal suspension theorem, a corollary of excision for homotopy groups.

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