lean2/hott/homotopy/homotopy.md

750 B

homotopy

Development of Homotopy Theory, including basic hits (higher inductive types; see also hit). The following files are in this folder (sorted such that files only import previous files).

  • cylinder (Mapping cylinders, defined using quotients)
  • susp (Suspensions, defined using pushouts)
  • red_susp (Reduced suspensions)
  • sphere (Higher spheres, defined recursively using suspensions)
  • circle (defined as sphere 1)
  • torus (defined as a two-quotient)
  • interval (defined as the suspension of unit)
  • cellcomplex (general cell complexes)
  • connectedness