Floris van Doorn
2913de520d
finish proving that the gysin sequence consists of the correct groups
2018-11-13 19:22:07 -05:00
Floris van Doorn
ea402f56ea
finish first part of constructing gysin sequence
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We have a long exact sequence, we still need to show that it consists of the correct groups
2018-11-12 18:07:05 -05:00
Floris van Doorn
b251465e72
continue on gysin sequence
2018-11-12 13:02:20 -05:00
Floris van Doorn
af447f4f8e
start on gysin sequence
2018-11-12 13:02:20 -05:00
Floris van Doorn
94066a6ba8
some more algebra
2018-11-12 13:02:20 -05:00
Floris van Doorn
5c9927ce2d
fix universe level for has_choice
2018-11-12 13:02:20 -05:00
Floris van Doorn
eb8601dc93
prove some properties about is_built_from
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One property in this commit which we will use is the resulting short exact sequence if you have only two nontrivial subgroups.
2018-11-12 13:02:20 -05:00
Floris van Doorn
266e37d9ed
prove some properties about first quadrant spectral sequences where the degree of d is as usual
2018-11-12 13:02:20 -05:00
Ulrik Buchholtz
0c4baacfcc
fix free_abelian_group and direct_sum
2018-11-02 13:39:40 +01:00
Ulrik Buchholtz
2f16008700
no longer working on truncatedness of suspensions of pointed sets (: - still some clean-up to do
2018-10-26 16:51:42 +02:00
Ulrik Buchholtz
4313f3f642
working on truncatedness of suspensions of sets
2018-10-24 17:07:35 +02:00
Ulrik Buchholtz
8f998637b5
factor free group on set via free group on pointed set
2018-10-23 13:30:26 +02:00
Floris van Doorn
32512bf47d
compute unreduced cohomology of spheres
2018-10-03 19:39:34 -04:00
Floris van Doorn
c19192fbe5
fix error with numerals in integers
2018-10-03 19:39:34 -04:00
Floris van Doorn
138fef02fa
update README/usage
2018-10-03 13:42:09 -04:00
Floris van Doorn
3b25ec0266
update README
2018-10-02 15:37:46 -04:00
Floris van Doorn
627deba24b
smash.tex: small changes, add some preliminary references
2018-10-02 13:10:41 -04:00
Floris van Doorn
075f12efe2
WIP smash.tex
2018-10-02 13:10:41 -04:00
Floris van Doorn
179575794a
Prove basic properties of spectral sequences
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Also separate exact_couple and spectral_sequence in separate files
2018-10-02 13:09:18 -04:00
Floris van Doorn
4481935a83
define spectral sequence from exact couple
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this also defines the actual spectral sequences for the Atiyah-Hirzebruch and Serre spectral sequences.
We need to reindex convergent_exact_couple_sequence to get a spectral sequence with the correct abutment from it.
2018-10-01 09:41:16 -04:00
Floris van Doorn
96e11300ed
fix indexing of abutment in spectral sequences
2018-09-29 12:07:54 +02:00
Floris van Doorn
48cf8a5f31
typo in converging_spectral_sequence
2018-09-26 20:07:01 +02:00
Floris van Doorn
acae548d3a
some cleanup, and add a todo list
2018-09-26 19:53:23 +02:00
Floris van Doorn
8937371b33
put exit in projective space file
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it was broken after reindexing spectral sequences
2018-09-26 13:17:57 +02:00
Floris van Doorn
f9ce395b1c
reindex the AHSS and SSS
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Now the 2nd page is the correct indexing.
2018-09-26 13:12:33 +02:00
Floris van Doorn
4d3053daff
Change the definition of graded morphisms
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Now we require them to be automorphisms which are equal to \g, g + d(0)
2018-09-26 13:12:24 +02:00
Floris van Doorn
db8402e1af
define deloopable types, define cup product
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The cup product on Eilenberg Maclane spaces is now defined, but no properties are proven yet
2018-09-26 12:57:41 +02:00
Floris van Doorn
e019097fed
update after changes in Lean
2018-09-20 16:03:59 +02:00
Floris van Doorn
da033c0f4c
work on dependent smash and cup product on EM-spaces
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also many small fixes
2018-09-20 02:08:45 +02:00
Floris van Doorn
68345f75ce
move more and update after changes
2018-09-11 19:24:51 +02:00
Floris van Doorn
f7e0ce0e20
add file on binary pointed maps
2018-09-10 18:04:28 +02:00
Floris van Doorn
ba5648fb87
start on construction of cup product of EM-spaces
2018-09-10 18:04:28 +02:00
Floris van Doorn
c3650048f0
fixes and additions
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add some properties about pointed maps and groups
2018-09-10 18:04:28 +02:00
Floris van Doorn
e4db64ae9a
fixes after changes in the library
2018-09-10 18:04:28 +02:00
Floris van Doorn
0dd7ec3c29
add missing file
2018-09-10 18:04:28 +02:00
spiceghello
f835dc896e
fix typos
2018-09-07 11:56:49 +02:00
Floris van Doorn
d2c7eb2368
generalize the spectral sequence of a sequence of spectrum maps
2018-09-07 11:55:24 +02:00
Floris van Doorn
fffc3cd03a
fix after moving stuff to library
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also cleanup spectrum.basic a little
2018-09-05 22:56:40 +02:00
Floris van Doorn
e1d2392a13
move more stuff
2018-09-04 11:54:26 +02:00
Floris van Doorn
be0d5977f6
move to lib and older things
2018-08-19 13:52:20 +02:00
Floris van Doorn
ec5b9dba12
more on decidable free group
2018-06-06 16:40:41 -04:00
spiceghello
dd14277e0b
additions on pentagons with interchange
2018-04-03 19:56:43 -04:00
Floris van Doorn
12f23c0dbe
the free group on a decidable set eliminates to any InfGroup
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Also develop more group theory for InfGroups
2018-03-25 16:51:23 -04:00
Floris van Doorn
9b624edb9f
fix indexing for homotopy group of presprectrum
2018-03-24 17:08:41 -04:00
Floris van Doorn
bcb78b4575
minor additions
2018-03-24 16:57:24 -04:00
Floris van Doorn
cf25666beb
higher groups: add is_trunc_ppi_of_is_conn
2018-02-01 00:10:58 -05:00
Floris van Doorn
2f957b7828
higher groups: finalize file
2018-01-31 21:39:01 -05:00
Floris van Doorn
e34fba2027
change title in README
2018-01-31 13:21:42 -05:00
Floris van Doorn
fbad62541b
higher groups: rename Grp to GType
2018-01-31 13:01:17 -05:00
Floris van Doorn
9914352e10
higher groups: prove equivalence of categories for 0-Grp
2018-01-31 12:32:20 -05:00
