author | Kevin Walker <kevin@canyon23.net> |
Thu, 08 Dec 2011 15:57:34 -0800 | |
changeset 939 | e3c5c55d901d |
parent 938 | 082bfb8f6325 |
child 942 | 598085348dd1 |
permissions | -rw-r--r-- |
803
a96ffd48ea3d
wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents:
802
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a96ffd48ea3d
wrote a little (but not enough) about Morita equivalence; out of time, will finish later
Kevin Walker <kevin@canyon23.net>
parents:
802
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====== big ====== |
790
ec8587c33c0b
more details in C.1; reorganized to-do list
Kevin Walker <kevin@canyon23.net>
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938
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minor edits in section 3.1
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* add "homeomorphism" spiel befure the first use of "homeomorphism in the intro |
082bfb8f6325
minor edits in section 3.1
Kevin Walker <kevin@canyon23.net>
parents:
931
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* maybe also additional homeo warnings in other sections |
082bfb8f6325
minor edits in section 3.1
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parents:
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939 | 7 |
* Lemma 3.2.3 (\ref{support-shrink}) implicitly assumes embedded (non-self-intersecting) blobs. this can be fixed, of course, but it makes the arument more difficult to understand |
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minor edits in section 3.1
Kevin Walker <kevin@canyon23.net>
parents:
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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
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====== 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
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919
259bef1b5dad
make claims about framed balls and non-pivotal n-cats weaker
Kevin Walker <kevin@canyon23.net>
parents:
918
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[probably NO] * consider proving the gluing formula for higher codimension manifolds with |
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morita equivalence |
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919
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make claims about framed balls and non-pivotal n-cats weaker
Kevin Walker <kevin@canyon23.net>
parents:
918
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[probably NO] * 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. |
796
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in the midst of revising a-inf and enriched n-cat axioms; not done yet
Kevin Walker <kevin@canyon23.net>
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798
bc8de6442481
misc; added some specifics of acknowledgements
Kevin Walker <kevin@canyon23.net>
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* 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
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new n-cat axiom for splittings
Kevin Walker <kevin@canyon23.net>
parents:
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(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:
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927 | 21 |
* figures |
931
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tweaked some colors; removed hand-drawn originals
Kevin Walker <kevin@canyon23.net>
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(** 13 "combining two balls" is lame) (but maybe leave it as is -- KW) |
797
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finish fam-o-homeo axiom revisions and discussion
Kevin Walker <kevin@canyon23.net>
parents:
796
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931
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tweaked some colors; removed hand-drawn originals
Kevin Walker <kevin@canyon23.net>
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* better discussion of systems of fields from disk-like n-cats |
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parents:
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*** Is this done by now? |
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919
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Kevin Walker <kevin@canyon23.net>
parents:
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diff
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* make sure we are clear that boundary = germ |
259bef1b5dad
make claims about framed balls and non-pivotal n-cats weaker
Kevin Walker <kevin@canyon23.net>
parents:
918
diff
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*** perhaps we are already clear enough |
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919
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Kevin Walker <kevin@canyon23.net>
parents:
918
diff
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* framings and duality -- work out what's going on! (alternatively, vague-ify current statement) |
259bef1b5dad
make claims about framed balls and non-pivotal n-cats weaker
Kevin Walker <kevin@canyon23.net>
parents:
918
diff
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*** is the new version sufficiently vague? |
259bef1b5dad
make claims about framed balls and non-pivotal n-cats weaker
Kevin Walker <kevin@canyon23.net>
parents:
918
diff
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768 | 34 |
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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
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35 |
====== Scott ====== |
768 | 36 |
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900
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more referee comments, mostly adding cross-references to examples, lemma-izing the fields -> ncats construction
Scott Morrison <scott@tqft.net>
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* SCOTT will go through appendix C.2 and make it better (Schulman's example?) |
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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
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39 |
* SCOTT: review/proof-read recent KW changes, especially colimit section and n-cat axioms |
914
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finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
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db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
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db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
diff
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db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
diff
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db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
diff
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db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
diff
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45 |
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db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
diff
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(for reference: |
db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
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* places splitting axiom is used: |
db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
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diff
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48 |
** in the proof that gluing in dimension < n is injective |
db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
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** in the proof that D(a) is acyclic |
db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
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** in the small blobs lemma |
db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
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) |
db365e67adf6
finished with plitting axiom stuff (except that now the module definition needs to be updated)
Kevin Walker <kevin@canyon23.net>
parents:
913
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