blob to-do
author Kevin Walker <kevin@canyon23.net>
Sun, 25 Sep 2011 14:44:38 -0600
changeset 889 70e947e15f57
parent 878 937214896458
child 893 3bc9a9100952
permissions -rw-r--r--
undoing the 'disk-like's
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
     1
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
     2
====== big ======
790
ec8587c33c0b more details in C.1; reorganized to-do list
Kevin Walker <kevin@canyon23.net>
parents: 787
diff changeset
     3
839
1d372b9675e3 typos in to-do file
Kevin Walker <kevin@canyon23.net>
parents: 823
diff changeset
     4
* better discussion of systems of fields from disk-like n-cats
850
38955cc8e1a7 very minor
Kevin Walker <kevin@canyon23.net>
parents: 849
diff changeset
     5
    (Is this done by now?)
878
937214896458 add referees request for comment on hh_*(loops)
Kevin Walker <kevin@canyon23.net>
parents: 850
diff changeset
     6
    
937214896458 add referees request for comment on hh_*(loops)
Kevin Walker <kevin@canyon23.net>
parents: 850
diff changeset
     7
* ?? say clearly that certain lemmas don't work for TOP; we're only claiming DIFF and PL (requires small changes in many places)
823
Kevin Walker <kevin@canyon23.net>
parents: 821
diff changeset
     8
878
937214896458 add referees request for comment on hh_*(loops)
Kevin Walker <kevin@canyon23.net>
parents: 850
diff changeset
     9
* need to fix fam-o-homeo argument per discussion with Rob (or just remove it)
821
6868130229bf minor; out of time for now
Kevin Walker <kevin@canyon23.net>
parents: 818
diff changeset
    10
801
33b3e0c065d2 adding placeholder figure
Kevin Walker <kevin@canyon23.net>
parents: 800
diff changeset
    11
* need to change module axioms to follow changes in n-cat axioms; search for and destroy all the "Homeo_\bd"'s, add a v-cone axiom
768
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    12
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    13
* probably should go through and refer to new splitting axiom when we need to choose refinements etc.
836
029f73e2fda6 adding some TODOs
Scott Morrison <scott@tqft.net>
parents: 830
diff changeset
    14
** in the proof that gluing in dimension < n is injective
790
ec8587c33c0b more details in C.1; reorganized to-do list
Kevin Walker <kevin@canyon23.net>
parents: 787
diff changeset
    15
776
c24e59300fca updated to-do list
Kevin Walker <kevin@canyon23.net>
parents: 774
diff changeset
    16
* framings and duality -- work out what's going on! (alternatively, vague-ify current statement)
768
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    17
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    18
* make sure we are clear that boundary = germ (perhaps we are already clear enough)
790
ec8587c33c0b more details in C.1; reorganized to-do list
Kevin Walker <kevin@canyon23.net>
parents: 787
diff changeset
    19
ec8587c33c0b more details in C.1; reorganized to-do list
Kevin Walker <kevin@canyon23.net>
parents: 787
diff changeset
    20
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    21
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    22
====== minor/optional ======
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    23
768
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    24
* consider proving the gluing formula for higher codimension manifolds with
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    25
morita equivalence
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    26
796
d30537de52c7 in the midst of revising a-inf and enriched n-cat axioms; not done yet
Kevin Walker <kevin@canyon23.net>
parents: 794
diff changeset
    27
* leftover: we used to require that composition of A-infinity n-morphisms was injective (just like lower morphisms).  Should we stick this back in?  I don't think we use it anywhere.
d30537de52c7 in the midst of revising a-inf and enriched n-cat axioms; not done yet
Kevin Walker <kevin@canyon23.net>
parents: 794
diff changeset
    28
798
bc8de6442481 misc; added some specifics of acknowledgements
Kevin Walker <kevin@canyon23.net>
parents: 797
diff changeset
    29
* should we require, for A-inf n-cats, that families which preserve product morphisms act trivially?  as now defined, this is only true up to homotopy for the blob complex, so maybe best not to open that can of worms
800
d0b9238aad5d new n-cat axiom for splittings
Kevin Walker <kevin@canyon23.net>
parents: 798
diff changeset
    30
(but since the strict version of this is true for BT_*, maybe we're OK)
d0b9238aad5d new n-cat axiom for splittings
Kevin Walker <kevin@canyon23.net>
parents: 798
diff changeset
    31
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    32
* review colors in figures
797
40729de8e067 finish fam-o-homeo axiom revisions and discussion
Kevin Walker <kevin@canyon23.net>
parents: 796
diff changeset
    33
768
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    34
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    35
====== Scott ======
768
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    36
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    37
* SCOTT will go through appendix C.2 and make it better
d8151afc725e adding to-do list
Kevin Walker <kevin@canyon23.net>
parents:
diff changeset
    38
803
a96ffd48ea3d wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents: 802
diff changeset
    39
* SCOTT: review/proof-read recent KW changes, especially colimit section and n-cat axioms