Commit graph

7 commits

Author SHA1 Message Date
Floris van Doorn
0483966328 prove the Freudenthal Suspension Theorem 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
b7c4f3b6a7 use have instead of assert 2016-03-03 11:05:44 -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.
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
Floris van Doorn
5c9355c4c1 feat(chain_complex): give the construction of the LES of homotopy groups
This commit defines "type_chain_complex" which is a typal variant of a chain complex, where the exactness condition is formulated without a propositional truncation in it. The fiber sequence of a pointed map is an instance of this structure.
It also defines "chain_complex" which is the usual notion of a chain complex: a sequence of pointed sets with pointed maps between them, such that the kernel and image of consecutive maps coincide.
The biggest part of this commit is the definition of the long exact sequence of homotopy groups of a pointed map. The definition uses the fiber sequence of a pointed map.
2016-02-22 20:53:48 -05:00
Floris van Doorn
52f59f8592 rename long_exact_sequence to chain_complex 2016-02-09 18:27:38 -05:00
Renamed from homotopy/long_exact_sequence.hlean (Browse further)