Floris van Doorn
ddef24223b
make pointed suspensions, wedges and spheres the default (in contrast to the unpointed ones), remove sphere_index
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All HITs which automatically have a point are pointed without a 'p' in front. HITs which do not automatically have a point do still have a p (e.g. pushout/ppushout).
There were a lot of annoyances with spheres being indexed by N_{-1} with almost no extra generality. We now index the spheres by nat, making sphere 0 = pbool.
2017-07-20 15:02:09 +01:00
Floris van Doorn
7d0eecc449
feat(hott): move basic lemmas from the spectral repository to the main repository
2017-06-02 12:13:20 -04:00
Floris van Doorn
540d451e01
fix(hott): small fixes
2017-03-07 22:56:47 -05:00
Floris van Doorn
914addc66c
feat(homotopy): introduce notation for topological type constructors
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Also change the alternative induction/recursion principle for the smash product
2017-01-18 22:24:59 +01:00
Floris van Doorn
4ed4fb7c67
feat(hott/homotopy): cleanup cofiber and wedge, redefine smash
2016-12-02 16:55:23 -08:00
Floris van Doorn
467001c0a9
feat(hott): minor changes
2016-09-18 02:13:21 -04:00
Floris van Doorn
52dd6cf90b
feat(hott): Port files from other repositories to the HoTT library.
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This commit adds truncated 2-quotients, groupoid quotients, Eilenberg MacLane spaces, chain complexes, the long exact sequence of homotopy groups, the Freudenthal Suspension Theorem, Whitehead's principle, and the computation of homotopy groups of almost all spheres which are known in HoTT.
2016-05-06 14:27:27 -07:00
Ulrik Buchholtz
bd9e47c82c
feat(hott): functoriality of pushout; connectedness in is_conn namespace
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other changes:
- move result about connectedness of susp to homotopy.susp
- improved definition of circle multiplication
- improved the interface to join
2016-03-23 09:22:55 -07:00
Floris van Doorn
003c11c917
feat(connectedness): is_conn_map -> is_conn_fun, and unbundle the P in elimination principles
2016-03-06 13:03:31 -05:00
Floris van Doorn
1903601ba5
refactor(trunc): rename namespace is_trunc.trunc_index to trunc_index
2016-03-03 10:13:20 -08:00
Floris van Doorn
c6e628da12
feat(hott): more computation rules for trunc_index and use nats for Lemma 8.6.2
2016-03-03 10:13:20 -08:00
Floris van Doorn
087c44d614
style(hott): rename instances of pType using pfoo instead of Foo
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For example, the pointed suspension operation was called Susp before this commit, but now is called psusp
2016-02-22 11:15:38 -08:00
Floris van Doorn
bac6d99cc7
style(hott): rename Pointed to pType
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also rename sigma_equiv_sigma_id to sigma_equiv_sigma_right and similarly for pi
2016-02-22 11:15:38 -08:00
Floris van Doorn
816237315c
feat(hott): various additions, especially for pointed maps/homotopies/equivalences
2016-02-22 11:15:38 -08:00
Jakob von Raumer
ce8ca64771
feat(hott): adjust small things in wedge theory
2016-02-09 09:57:27 -08:00
Ulrik Buchholtz
dcb35008e1
feat(hott/homotopy): general connectivity elimination and the wedge connectivity lemma
2016-02-04 11:07:22 -08:00
Jakob von Raumer
d8d3b0c0b2
feat(hott): add wedge sum of pointed types, neutrality of wedging with the unit type
2016-01-24 16:30:21 -08:00
