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* We need to be clearer about which types of homeomorphisms the
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"localization" theorem in the appendix works for, in the body of the
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paper. Options here include:
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a) having a better theorem in a separate paper, so we don't actually
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need to worry
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[** currently working on this option]
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b) changing the statements in the paper, for example writing PL-Homeo
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everywhere instead of Homeo
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c) explicitly saying "Homeo means PL-Homeo" everywhere
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c') if we succumb to Peter's suggestion of say "Iso" everywhere,
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perhaps we could adopt the notation that "Iso^*" or similar means one
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of a restricted set of categories, where the appendix works, and using
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this notation in section 5.
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* Consider moving A_\infty stuff to a subsection
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* dimension n+1, explain the statement and refer to KW's notes
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* framings and duality -- work out what's going on!
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* consider proving the gluing formula for higher codimension manifolds with
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morita equivalence
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* Peter's suggestion for A_inf definition
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* enriching in other \infty categories, explaining how "D" should
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interact with coproducts in "S" (break out A_\infty stuff into a
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subsection)
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* SCOTT will go through appendix C.2 and make it better
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* In the appendix on n=1, explain more about orientations. Also say
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what happens on objects for spin manifolds: the unique point has an
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automorphism, which translates into a involution on objects. Mention
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super-stuff.
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* make remarks about defect interpretation of sphere modules
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colimit subsection:
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* Labeling of the k-1 skeleton agreeing on the k-2 skeleton is awfully vague.
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* Category of permissible decompositions must be a small category in order to take the colimit.
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* Boundary of \cl; not so easy to see!
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modules:
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* Marked hemispheres, need better language.
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* Lemma 6.4.5 needs to actually construct this map! Needs more input! Do
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we actually need this as written?
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* add remark about relation of SC operad to Ryan Budney thing
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* SCOTT: typo in delfig3a -- upper g should be g^{-1}
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* finalize acknowledge list
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* fix "cell decomposition" (\nn remark) in string-diagram-fields def
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