deleting hand-drawn figures

final tweaks to figures in C2

fix an overfull hbox

more \bullet -> *_h

remoed hand drawn figs; adjusted some composition symbols

removing obsolete reference to Lemma support-shrink

finished all the figures. (colors need adjusting)

redone the complicated figure in tikz

more diagrams, doing the complicated one in tikz again now that I've discovered pos (and an annoying bug in tikz)

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minor, work on figures

added a homeo/pl/smooth etc note early in the intro

remove lemma 3.2.3 (support-shrink lemma); it was only used once

last case of inserting product regions

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figures

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more work on figures, in the sandbox

some more figures

minor -- done with final read-through

minor -- Section 7

minor -- mostly done with Section 6

minor -- more Section 6 edits

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very minor; committing in preparation for merging

slow progress on figures

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figures

mostly minor edits -- section 6.1

minor - section 5

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minor

just one figure

minor - Section 4

minor - Section 3.2

minor edits in section 3.1

beginning final read-through; minor changes to intro

chopping up hand-drawn figures, and getting all the figure environments and references right

done with appendic revision (except for figures)

start to revise C.3

C -> D in C.2

minor

tweaked some colors; removed hand-drawn originals

typo

preliminary tikz diagrams for all the morita equivalences

some figure todos, todone

figures todo

adding cites for pivotal categories, explaining what we mean by *-1-cats. Referee report is now completely finished.

adding last label to the 'gadgets' figure, as requested by referee

adding figures for pinched products

adding notes from Maui

removing "(partially defined)"

typo

small item from ref rpt

make claims about framed balls and non-pivotal n-cats weaker

finished updating module axioms (but have not done a proof-read)

more module axiom stuff

a little more revision of module axioms

begin to incorporate recent n-cat axiom changes into the module axioms

finished with plitting axiom stuff (except that now the module definition needs to be updated)

add remarks about the missing TOP case; searched for all occurrances of "topological" and "continuous" to make sure all other mentions of TOP have been expunged; other minor changes

added some 'disk-like's in intro; other minor changes in intro; broke some lines

changing general map thm to remark, as suggested by referee

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minor

minor typos from recent edits

in response to ref rpt, adding a completely redundant proof for fiber bundle thm; still think about general map case

a little more on operad action

operad action only up to homotopy; still need to think about this a bit

marked balls start at k=1, not k=0

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providing a preamble to Appendix A

definition-izing the blob complex for an A_infty cat, and stating assumptions more prominently in S7.2

more referee comments, mostly adding cross-references to examples, lemma-izing the fields -> ncats construction

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minor; unsaved change from a couple of days ago

minor fixes, some typos, some cross-references

Initial version of the new splitting axiom. This is much rougher than I would like, but it's better than nothing.

updated ref rpt to-do list

straighten out 1-cat vs system of fields in Section 4, per referee

minor

remove TOP; searched of "topological" and "PL" to find places where we mention TOP

small ref rpt item (I looked and there was nothing other than 5.1.5 and 7.3.1)

readding item to ref rpt to-do list (un-strikeout)

undoing the 'disk-like's

Backed out changeset 7abe7642265e

more referee report stuff, relatively minor

last remaining items from referee's typo/minor list

finishing most of the minor/typo issues from the referee

fixing theorem numbering in sections without subsections

adding arxiv versions to the repository, for easier reference

fixing typos

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very minor

minor ref rpt stuff

add referees request for comment on hh_*(loops)

finishing EB_n additions

another intermediate commit for fam-o-homeo lemma; found another flaw in proof

adding a figure suggested by the referee

being more verbose about restriction maps

intermediate commit -- not done yet

intermediate commit -- not done yet

more work on fam-o-homeo lemma

dealing with merge failure

minor intermediate commit, so that I can fetch

referee remark no longer necessary because of a rewritten section

adding some forward references about extended TQFTs, per referee

minor typo

relentless adding 'disk-like' everywhere it could possibly go

adding more labels to the 'overview' diagram, per referee

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minor: fixing common refinement example

unfinished edits to fam-o-homeo lemma and EB_n algebra example

add Kirby and referee to acknowledgements

tweaks per referee

typos, not from referee rpt

remove bar per referee (minor)

pdf

more typos from ref rpt

typos from ref rpt

several minor corrections, from referee

switching CH back to C_*(Homeo(...))

adding RefereeReport.pdf

very minor

no splittability requirement for k=n

fixing proof of 7.1.1 (product thm)

remark about families of collar maps acting; misc

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added splittability axiom for fields

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changing formula for blocks

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nonsense having to do with resloving conflicts

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typos in to-do file

changing example for no common refinement

typos

adding some TODOs

queries on topologising BD

fixing a weird numbering issue in \S 2, caused by switching to X.Y.Z numbering scheme

minor

using consistent names for field in \S 7

very minor query

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acknowledgements for course looks fine

adding vertical arrow in decomposition poset figure

figure for ABCD in the sin(1/x) example

minor

fixing delfig3b

recompiling 'gadgets' diagram

minor

add remark about a-inf axiom implying isotopy invariance

minor; out of time for now

update n-cat summary lists

very minor

maybe done with colimit stuff; getting closer anyway

minor

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minor

tikz figure

adding the final PDF form PNAS

starting on a Morita figure

intertwinor -> intertwiner: http://www.googlefight.com/index.php?lang=en_GB\&word1=intertwiner\&word2=intertwinor

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typo

minor: correcting caption

morita figs

more Morita

minor

morita stuff

wrote a little (but not enough) about Morita equivalence; out of time, will finish later

adding transversality requirement to product morphism axiom

adding placeholder figure

new n-cat axiom for splittings

minor

misc; added some specifics of acknowledgements

finish fam-o-homeo axiom revisions and discussion

in the midst of revising a-inf and enriched n-cat axioms; not done yet

tweak to fam-o-homeo proof; aux enriching cats are sets with extra structure

finished topological case of Appendix B

starting proof of adaptation lemma for continuous homeos

added remark on super algebra

adding remarks on objects to C.1; this is pretty uninspired writing, so feel free to improve

more details in C.1; reorganized to-do list

axioms for enriched n-cats; but these might need to be modified since the product axiom seems to require that these are sets with structure after all

more reorganization of n-cat defs

start to rearrange n-cat defs

corrected statement of module to category restrictions; note that this affects the numbering of items in subsection 6.4

left over comment from last week

more on colimits; still not done

minor

merging by hand (?)

rewriting colimit def; there's still a little more to do

starting to work on colimit stuff, but not much progress yet

minor

add remarks to address the bizarre and inexplicable confusion about "hemisphere"

added a sentence about conditions of existence of path integrals (at PT's request); other minor stuff

updated to-do list

oops -- 3 reverts

move figs to top of page

make sure poset of decomps is a small category; added to to-do list

string diagrams have stratifications more general than mere cell complexes

minor

added remark about defect categories; tweaked sphere cat intro

minor: remove \nn from ack list; shorten lines; remove some comments

adding to-do list

updated delta file

acknowledge the existence of manifolds without ball decompositions

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delta file for next arXiv/G&T version (complete as of now, but will need to be updated)

reverting removing kw:tqft

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old change to a diagram, forgot to commit

correcting typo

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removing kw:tqft from pnas

remark about apparent vacuity of lemma 6.1.2 (spheres)

added more motivation for pinched products

more on piched product union axiom

fixed statement of compatibility of product morphisms with decompositions (might still need some work)

added to examples of unions of pinched products (fig)

added brief def of monoidal n-cats; killed some old invisible comments

add M. Shulman to acknowledgements

clarification of definition of n-SC operad

adding notes for Scott's April 19 talk

removing repeated word

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fixing minor mistake in the proof of the product formula

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typo in caption

more splittable symbols in the module section, and minor typos from April 12

if compiling with xelatex, and the fonts 'Linux Libertine' and 'Asana Math' are available, will typeset more like what PNAS is doing. quotes are messed up, though

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some daggers

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correctly definition of ball decomposition in PNAS article

fix definition of refinement of ball decomp (intermediate manifolds are disj unions of balls)