Mike Shulman
5379c2e253
feat(homotopy/spectrum): fibers of spectra
2016-03-23 11:31:06 -07:00
Mike Shulman
104378f2c3
feat(homotopy/spectrum): use namespaces and better typeclasses
2016-03-21 15:53:25 -07:00
Mike Shulman
2bb5176b97
feat(homotopy/spectrum): basic definitions and cotensors by types
2016-03-20 20:16:36 -07:00
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.
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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
Floris van Doorn
b7f2b9d689
update after renamings in the HoTT library
2016-02-22 20:53:48 -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
Clive Newstead
efd5d25039
Merge branch 'master' of https://github.com/cmu-phil/Spectral
2016-02-18 16:18:02 -05:00
Clive Newstead
ae01bcba86
Created sec83.hlean
2016-02-18 16:16:55 -05:00
cnewstead
5342e41863
Delete clive.hlean
2016-02-18 14:04:05 -05:00
Floris van Doorn
52f59f8592
rename long_exact_sequence to chain_complex
2016-02-09 18:27:38 -05:00
Floris van Doorn
d1619c1b53
feat(homotopy/long_exact_sequence): change to chain complexes as basic structure
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Also prove that the equivalences are pointed equivalences
2016-02-09 18:25:59 -05:00
Floris van Doorn
8f9ef03ad2
feat(homotopy/LES): continue working on the LES of homotopy groups
2016-02-05 00:51:00 -05:00
Floris van Doorn
c926955c8b
begin LESs
2016-02-04 19:02:15 -05:00
Clive Newstead
2f150dce1f
Playing with groups
2016-02-04 15:31:41 -05:00
Clive Newstead
103e4f72fe
Learning how to Git...
2016-02-04 14:02:39 -05:00
Clive Newstead
3a09986692
Created clive.hlean
2016-02-04 14:00:48 -05:00
Floris van Doorn
895050d155
fix(*): fix broken files
2016-02-04 13:38:33 -05:00
Steve Awodey
6889eba5ea
added homotopy subdirectory and sample file
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to formalize Chapter 8 of the book
2016-01-21 14:33:54 -05:00
