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1 %auto-ignore |
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2 %!TEX root = pnas.tex |
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3 |
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4 \def\bc{{\mathcal B}} |
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5 \def\btc{{\mathcal{BT}}} |
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6 |
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7 \newcommand{\HC}{\operatorname{Hoch}} |
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8 \newcommand{\HH}{\operatorname{HH}} |
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9 |
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10 \newcommand{\CM}[2]{C_*(\Maps(#1 \to #2))} |
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11 \newcommand{\CD}[1]{C_*(\Diff(#1))} |
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12 \newcommand{\CH}[1]{C_*(\Homeo(#1))} |
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13 |
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14 \newcommand{\cl}[1]{\underrightarrow{#1}} |
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15 |
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16 \newcommand{\Set}{\text{\textbf{Set}}} |
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17 \newcommand{\Vect}{\text{\textbf{Vect}}} |
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18 \newcommand{\Kom}{\text{\textbf{Kom}}} |
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19 \newcommand{\Cat}{\mathcal{C}} |
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20 |
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21 \newcommand{\cell}{\mathfrak{D}} |
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22 |
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23 \newcommand{\into}{\hookrightarrow} |
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24 \newcommand{\onto}{\twoheadrightarrow} |
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25 \newcommand{\iso}{\cong} |
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26 \newcommand{\quism}{\underset{\text{q.i.}}{\simeq}} |
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27 \newcommand{\htpy}{\simeq} |
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28 \newcommand{\actsOn}{\circlearrowright} |
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29 \newcommand{\xto}[1]{\xrightarrow{#1}} |
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30 \newcommand{\isoto}{\xto{\iso}} |
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31 \newcommand{\quismto}{\xrightarrow[\text{q.i.}]{\iso}} |
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32 \newcommand{\diffeoto}{\xrightarrow[\text{diffeo}]{\iso}} |
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33 \newcommand{\htpyto}{\xrightarrow[\text{htpy}]{\htpy}} |
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34 |
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35 \newcommand{\directSum}{\oplus} |
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36 \newcommand{\DirectSum}{\bigoplus} |
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37 \newcommand{\tensor}{\otimes} |
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38 \newcommand{\Tensor}{\bigotimes} |
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39 |
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40 \newcommand{\selfarrow}{\ensuremath{\smash{\tikz[baseline]{\draw[->] (0,0.2) .. controls (0.6,0.8) and (0.6,-0.6) .. (0,0);}}}} |
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41 |
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42 \newcommand{\bdy}{\partial} |
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43 \newcommand{\compose}{\circ} |
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44 \newcommand{\eset}{\emptyset} |
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45 |
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46 \newcommand{\id}{\boldsymbol{1}} |
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47 |
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48 \newtheorem{property}{Property} |
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49 \newenvironment{rem}{\noindent\textsl{Remark.}}{} |
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50 |
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51 % \mathrlap -- a horizontal \smash-------------------------------- |
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52 % For comparison, the existing overlap macros: |
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53 % \def\llap#1{\hbox to 0pt{\hss#1}} |
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54 % \def\rlap#1{\hbox to 0pt{#1\hss}} |
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55 \def\clap#1{\hbox to 0pt{\hss#1\hss}} |
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56 \def\mathllap{\mathpalette\mathllapinternal} |
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57 \def\mathrlap{\mathpalette\mathrlapinternal} |
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58 \def\mathclap{\mathpalette\mathclapinternal} |
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59 \def\mathllapinternal#1#2{% |
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60 \llap{$\mathsurround=0pt#1{#2}$}} |
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61 \def\mathrlapinternal#1#2{% |
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62 \rlap{$\mathsurround=0pt#1{#2}$}} |
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63 \def\mathclapinternal#1#2{% |
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64 \clap{$\mathsurround=0pt#1{#2}$}} |
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65 |
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66 % packages |
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67 |
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68 \usepackage{tikz} |
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69 \usetikzlibrary{shapes} |
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70 \usetikzlibrary{backgrounds} |
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71 \usetikzlibrary{decorations,decorations.pathreplacing} |
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72 \usetikzlibrary{fit,calc,through} |
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73 |
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74 \usepackage[all,color]{xy} |
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75 \SelectTips{cm}{} |