Floris van Doorn
a716ef2108
applications: prove almost completely that S^3 and S^2 have the same high enough homotopy groups
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There is one missing fact, which is that the equivalence between S^1 and the fiber of the hopf fibration respects the basepoint
2016-04-11 23:17:10 -04:00
Floris van Doorn
9a476fecfe
sec86: finish proof of stability of spheres as groups
2016-04-11 15:55:28 -04:00
Floris van Doorn
0f9433c921
Rename some files, use the new LES file for the application file.
2016-04-07 17:28:33 -04:00
Floris van Doorn
37fbe56b8c
Finish construction of the LES of homotopy groups without signs
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The maps on every level are just the functorial action of the homotopy groups (possibly composed by a cast), but there are no compositions with path inversion.
There are also some updates in various files after changes in the HoTT library.
2016-04-07 17:28:19 -04:00
Ulrik Buchholtz
288e0d71b2
make everything compile on lean post 6f74f6522...
2016-03-24 16:14:44 -04:00
Floris van Doorn
97d7d0c108
updates after changes in the HoTT library
2016-03-24 13:27:21 -04:00
Floris van Doorn
0483966328
prove the Freudenthal Suspension Theorem
2016-03-24 13:27:21 -04:00
Floris van Doorn
a76e4fce08
prove that the join of two spheres is a sphere
2016-03-24 13:27:21 -04:00
Floris van Doorn
6d11d025dd
remove namespace equiv.ops
2016-03-03 11:56:56 -05:00
Floris van Doorn
1213001a6a
feat(LES_applications): give most of the proof of 8.4.8
2016-03-02 22:14:32 -05:00
Floris van Doorn
a578b1c42e
Add computing version of the LES of homotopy groups.
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Start on applications of the LES.
Also finish proofs in sec83 (I've also included them in the latest pull request for the Lean-HoTT library).
2016-03-02 19:10:12 -05:00
