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
Floris van Doorn
85b04639cb
higher groups: prove naturality of all adjunctions
2018-01-30 20:28:15 -05:00
Floris van Doorn
98092df59c
various things about higher groups
2018-01-30 16:11:13 -05:00
Floris van Doorn
e0365d2c65
higher_groups: finish adjunction between loop and deloop
2018-01-29 15:30:10 -05:00
Floris van Doorn
0949070096
Prove stabilization and work on equivalence of categories
2018-01-28 18:30:21 -05:00
Ulrik Buchholtz
9d91957303
connectivity of loop_susp_counit
2018-01-27 19:42:09 +01:00
Ulrik Buchholtz
8acdbf3f67
the wedge extension lemma actually works!
2018-01-27 19:01:42 +01:00
Ulrik Buchholtz
f1fe71b0a8
comparison of fibers between prod_of_wedge and loop_susp_counit
2018-01-27 10:56:01 +01:00
Ulrik Buchholtz
7a5bb0c2fe
alternative version of pushout flattening
2018-01-27 10:55:09 +01:00
Ulrik Buchholtz
f51dac9045
rename pequiv.sigma_char_equiv' to pequiv.sigma_char_pmap
2018-01-26 18:15:32 +01:00
Floris van Doorn
3a09e743a2
fix error in EM
2018-01-23 12:47:29 -05:00
Floris van Doorn
6de6e72a03
simplify proof of is_trunc_Grp
2018-01-23 12:44:05 -05:00
Ulrik Buchholtz
d7b8530718
prove that [n;k]Grp is an (n+1)-type
2018-01-21 12:28:43 +01:00
Floris van Doorn
d5a0080355
prove various properties about pointed truncated and/or connected types
2018-01-19 17:25:34 -05:00
Floris van Doorn
a22ac8af28
work on connectification of a type
2018-01-19 10:07:46 -05:00
Floris van Doorn
f6bbc75365
unindent higher_groups
2018-01-19 10:07:42 -05:00
Floris van Doorn
44cf88a2a5
fix connectivity levels, they were off by one
2018-01-17 19:18:20 -05:00
