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\usepackage{graphicx}
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\usepackage{float}
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\usepackage{amssymb}
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\usepackage{color}
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\usepackage{listings}
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\usepackage{mathtools}
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\DeclareMathOperator{\im}{Im}
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\usepackage{tikz} % http://pdp7.org/blog/?p=133
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\usetikzlibrary{matrix, arrows, decorations}
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\tikzset{node distance=3em, row sep=3em, column sep=3em, auto}
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\pgfdeclaredecoration{single line}{initial}{
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\state{initial}[width=\pgfdecoratedpathlength-1sp]{\pgfpathmoveto{\pgfpointorigin}}
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\state{final}{\pgfpathlineto{\pgfpointorigin}}
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}
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\tikzset{
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raise line/.style={
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decoration={single line, raise=#1}, decorate
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}
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}
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\newcommand{\N}{\mathbb{N}}
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\newcommand{\Z}{\mathbb{Z}}
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\newcommand{\R}{\mathbb{R}}
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\newcommand{\cat}[1]{\mathbf{#1}}
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\newcommand{\Ab}{\cat{Ab}}
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\newcommand{\sAb}{\cat{sAb}}
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\newcommand{\Set}{\cat{Set}}
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\newcommand{\sSet}{\cat{sSet}}
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\newcommand{\Top}{\cat{Top}}
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\newcommand{\DELTA}{\cat{\Delta}}
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\newcommand{\Ch}[1]{\mathbf{Ch}(#1)}
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\newcommand{\Hom}[3]{\mathbf{Hom}_{#1}(#2, #3)}
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\newcommand{\id}{\mathbf{id}}
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\newcommand{\iso}{\cong}
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\newcommand{\tot}[1]{\xrightarrow{\,\,{#1}\,\,}}
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\newcommand{\mapstot}[1]{\xmapsto{\,\,{#1}\,\,}}
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\newcommand{\eps}{\varepsilon}
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\newcommand{\I}{\,\mid\,}
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\newcommand{\then}{\Rightarrow}
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\newcommand{\mono}{\hookrightarrow}
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\newcommand{\epi}{\twoheadrightarrow}
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\newcommand{\del}{\partial}
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\newcommand{\nsubgrp}{\trianglelefteq}
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\newcommand{\todo}[1]{
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\addcontentsline{tdo}{todo}{\protect{#1}}
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$\ast$ \marginpar{\tiny $\ast$ #1}
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}
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\makeatletter
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\newcommand \listoftodos{\section*{Todo list} \@starttoc{tdo}}
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\newcommand\l@todo[2]{
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\par\noindent \textit{#2}, \parbox{10cm}{#1}\par
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}
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\makeatother
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