1.8 KiB
1.8 KiB
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).
- connectedness (n-Connectedness of types and functions)
- cylinder (Mapping cylinders, defined using quotients)
- susp (Suspensions, defined using pushouts)
- sphere (Higher spheres, defined recursively using suspensions)
- circle (defined as sphere 1)
- interval (defined as the suspension of unit)
- cellcomplex (general cell complexes)
- cofiber
- wedge
- smash
- join
- freudenthal (The Freudenthal Suspension Theorem)
- hopf (the Hopf construction and delooping of coherent connected H-spaces)
- complex_hopf (the complex Hopf fibration)
- imaginaroid (imaginaroids as a variant of the Cayley-Dickson construction)
- quaternionic_hopf (the quaternionic Hopf fibration)
- chain_complex
- LES_of_homotopy_groups
- vankampen (the Seifert-van Kampen theorem)
- homotopy_group (theorems about homotopy groups. The definition and basic facts about homotopy groups is in algebra/homotopy_group)
- sphere2 (calculation of the homotopy group of spheres)
The following files depend on hit.two_quotient which on turn depends on circle.