blob to-do
author Kevin Walker <kevin@canyon23.net>
Fri, 14 Oct 2011 08:35:15 -0700
changeset 912 c43f9f8fb395
parent 909 f194ed15587b
child 913 75c1e11d0f25
permissions -rw-r--r--
added some 'disk-like's in intro; other minor changes in intro; broke some lines


====== big ======

* double-check for mentions of TOP

* (maybe) say somewhere what's missing for TOP

* 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

* probably should go through and refer to new splitting axiom when we need to choose refinements etc.
**** in the proof that gluing in dimension < n is injective

* revisit splitting axiom for system of fields; check use of it in small blobs lemma

* framings and duality -- work out what's going on! (alternatively, vague-ify current statement)


(for reference:
	* places splitting axiom is used:
	** in the proof that gluing in dimension < n is injective
	** in the proof that D(a) is acyclic
	** in the small blobs lemma
)


====== minor/optional ======

* consider proving the gluing formula for higher codimension manifolds with
morita equivalence

* 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.

* 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
(but since the strict version of this is true for BT_*, maybe we're OK)

* review colors in figures

* better discussion of systems of fields from disk-like n-cats
    (Is this done by now?)
 
* make sure we are clear that boundary = germ (perhaps we are already clear enough)
   

====== Scott ======

* SCOTT will go through appendix C.2 and make it better (Schulman's example?)

* SCOTT: review/proof-read recent KW changes, especially colimit section and n-cat axioms