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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)

added 2nd parameter to the two bordism examples

invisible, unimportant changes

neat embedding for bordism category

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slightly more detail on lack of surjectivity

two more transverse symbols

added two more transverse symbols

small fix for def of bordism category definitions; perhaps more should be done

explain why we dont require gluing to be surjective

added remark that in the case of disjoint gluing the equalizer is also a fibered product

tried to clarify the spirally nature of the axioms in the intro to the ncat section; other word-smithing in that intro; added remark about C(0-sphere)

thank hot topics course lecturers

add definition of collaring homeo, etc.

remove long nooped section on linearizing fields

adding pitchforks to denote splittability

typo

2 typos, one minor and one more serious

clarified what's small and what's not in the proof of the small blob lemma for BT_*

removing unnecessary preamble.tex

fixing rob's typo (that->than)

added remark to easy gluing prop (compatible with gluing on fields). this is in response to comment from PT that the zero map satisfies the claims of the proposition.

fix typo ('to' -> 'the') noticed my Rob

re-added a remark that was accidentally deleted earlier

typo

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clarify "splittable"; r -> l

aaron's final version

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Edits from Aaron Mazel-Gee

adding Aaron's notes, renaming

minor

minor tweaks in talk

some suggestions from kevin

axioms (unfinished) and a bit about cell decompositions

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adjusting figure and proof of gluing per kevin's suggestions

placeholder for change in def of string-diagram-fields

gluing formulas

writing about string diagrams

writing notes for Teichner's course

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missing 'than'

summary of changes for G&T (will upload via their web interface)

fixing build script to omit PNAS files for arxiv submission

trying out a semicolon list

minor changes to kevin's new paragraphs

fixing the broken references introduced during my abortive edits yesterday in sydney

ugh, trying to make some changes, but the only way I can work from here is by tunneling X windows, and it's just too painful. postponing til I'm at a real computer.

"topological n-cat" --> either "disk-like n-cat" or "ordinary n-cat" (when contrasted with A-inf n-cat)

added subsection to intro about n-cat terminology; have not yet actually changed terminology in the rest of the paper

add citation to R. Brown and U. Tillman

summary of data and properties for n-cats

mention n+1-cat of sphere modules in intro

plain n-cat -> ordinary n-cat

compatibility of first and last n-cat axioms; mention stricter variant of last axiom

remove tillmann "personal communication" bib entry per PNAS policy

reformatting bibliography for PNAS

moving everything into one directory for PNAS submission, and externalizing TikZ

merging preamble into the main file

deleting unused diagram

switching in local bibliography

preferring pivotal over 'strong duality'. may want to search for 'duality' and think about phrasing...

plain -> ordinary

adding a sentence about types of decompositions of manifolds, including a cite to kirillov. Feel free to revert.

minor changes to abstract, and blob diagrams

minor

more string diagram / field nonsense

move Lurie-comparison paragraph to n-cat section

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adding cite to tillmann

that's all for tonight

part way done with post phone call edits

more proofreading changes

minor, on enrichment

2nd installment of changes from proof-read

changes from proof-read, 1st installment

fixing single quotes and long lines

some more fixes in the colimit section

trying out 'isotopy n-category', and explaining the difference better

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minor

minor changes from proofreading

line breaks

first cut of an abstract

minor

plain ---> linear

writing a bit more about colimits. I'm not doing a good job of this

epsilon

unoriented <=> oriented

minor changes in introduction

citing rozansky for s2 x s1: is there actually a paper by khovanov about this?

short version of cat sect intro; longer intro desirable?

done with intro for now

trying to resolve

maybe if I commit now merging will be easier?

very paltry start on colimits, out of time for now

minor changes to rewritten intro

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changing title?

more intro

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silly commit to move stuff from office to home

adding reference to Ronnie Brown's paper, from MO

adding Gerstenhaber-Voronov, explicitly not proving the mapping spaces result, and slight tweaks

finish deligne section; misc

more on deligne

starting on Deligne section

misc

proof of product thm

minor tweaks in sketch proofs

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adding some proof sketches

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minor

minor

hopefully preamble commands should all be okay again

various minor, and moving mapping spaces to 'specializations'

oops, unbreaking stuff

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bordism example

futzing with preambles

misc

proof for CH_* action

minor, during call

minor, during call

minor

intro to more concrete \bc_* definition and misc

definition of collar maps

changing title

writing intro; just an expanded version of the existing notes, feel free to savage

minor changes to cone-product polyhedra discussion

Examples and misc.; quality of writing perhaps not so great.

various

writing inconclusively about homotopy colimits, but have to run

fixing typo

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making pinched products axioms terser, and writing a short proof of the higher deligne conjecture

adding some figures for the axioms

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fixing labels on mapping-cylinders.pdf (R_1 and R_2 reversed)

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merging changes

a few changes, maybe bad ones...

fixing a type

enrichment; decompositions (meta)

restore and complete the fragment

various, mostly working on axioms

minor

misc

minor

some n-cat motivation

k-blobs for small k, and blob cochains

minor

minor

out of battery. writing a little about the deligne conjecture

oops, missing paren in deligne.tex

writing on the plane to kyoto: the blob complex as homotopy colimit and explicitly (but not why these are the same), and copy and paste of statements of axioms

minor edits and cleanup

starting on cell decompositions

incorporating statements of results in PNAS article

compilable PNAS file\! The blob intro typesets (poorly) onto 3 2-column pages

minor changes to preambles

hg-ignoring pnas.pdf et al.

removing the (unused) \pr command, because PNAS didn't like it

renaming variables to avoid PNAS conflicts

PNAS style files, and template

restoring arxiv number

arxiv number

fixing external graphic

adding arxiv number at the end of the paper

last minute changes from friday, to submit to the arxiv

friday afternoon

assoc of n+1

added abstract; other misc minor stuff

resolving two more nns

fat graph -> surgery cylinder

making "no functors" excuses; other minor stuff

minor

killing commutative alg appendix

misc

remaining changes from tuesday afternoon

deleting nn's

minor

addressing some of Scott's comments on CH_* action proof

minor: futzing with font size in 2 figs

new def of mophisms between modules

replacing "sort-of-simplicial" -> "cone-product", although I was rather fond of "sort-of-simplicial"; this isn't kvetching about your comment -- I was already planning on axing "sort-of-simplicial"

breaking lines, and one other minor comment

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preparing for new def of morphisms of a-ing 1-cat modules

hopefully getting signs right in Lemma 6.3

fixing some subscripts associated to homotopies

various changes to \S 6.1

minor

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minor

numbering axioms and module axioms as 7.x

fixing label on deligne figure

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fixing deligne figure

proof of injectivity/colimit lemma

futzing with figures (\begin{center|equation} to \centering)

minor

minor; resolving a few \nns

finished 2nd pass on evmap

revisions of evmap; misc

starting to finish fiber bundle stuff

finished 1st draft of new evmap section; commented out older versions

more on evmap

misc

local contractibility for SOSS blob complex

minor

first draft of new sm blobs; needs to be proof-read and revised

supress warnings about PDF 1.5

more small blob stuff

making latest available to office computer

more on small blobs

starting yet again on evmap

intro to evmap

fixing some (but not all!?) of the hyperref warnings; start on revision of evmap

no more new pages for sections

more figures

another fig

adding tikz fig

change appearance of hyperrefs

misc

sphere module n+1 mor stuff

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