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112 changes: 56 additions & 56 deletions ch1/ch1.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../main]{subfiles}
\begin{document}

\chapter{Categories, Functors, Natural Transformations}
\section{Abstract and concrete categories}
\subfile{ch1/sec1/1.1.1-chernak.tex}
\subfile{ch1/sec1/1.1.2-james.tex}
\subfile{ch1/sec1/1.1.3-matharu.tex}
\subfile{sec1/1.1.1-chernak.tex}
\subfile{sec1/1.1.2-james.tex}
\subfile{sec1/1.1.3-matharu.tex}

\pagebreak
\section{Duality}
\subfile{ch1/sec2/1.2.1-pardue.tex}
\subfile{ch1/sec2/1.2.2-mcgovern.tex}
\subfile{ch1/sec2/1.2.3-agwu.tex}
\subfile{ch1/sec2/1.2.4-laczin.tex}
\subfile{ch1/sec2/1.2.5-kousoulas.tex}
\subfile{ch1/sec2/1.2.6-kousoulas.tex}
\subfile{ch1/sec2/1.2.7-kousoulas.tex}
\subfile{sec2/1.2.1-pardue.tex}
\subfile{sec2/1.2.2-mcgovern.tex}
\subfile{sec2/1.2.3-agwu.tex}
\subfile{sec2/1.2.4-laczin.tex}
\subfile{sec2/1.2.5-kousoulas.tex}
\subfile{sec2/1.2.6-kousoulas.tex}
\subfile{sec2/1.2.7-kousoulas.tex}

\pagebreak
\section{Functoriality}
\subfile{ch1/sec3/1.3.1-weinberg.tex}
\subfile{ch1/sec3/1.3.2-weinberg.tex}
\subfile{ch1/sec3/1.3.3-pardue.tex}
\subfile{ch1/sec3/1.3.4-laczin.tex}
\subfile{ch1/sec3/1.3.5-matharu.tex}
\subfile{ch1/sec3/1.3.6-agwu.tex}
\subfile{ch1/sec3/1.3.7-james.tex}
\subfile{ch1/sec3/1.3.8-matharu.tex}
\subfile{ch1/sec3/1.3.9-mcgovern.tex}
\subfile{ch1/sec3/1.3.10-chernak.tex}
\subfile{sec3/1.3.1-weinberg.tex}
\subfile{sec3/1.3.2-weinberg.tex}
\subfile{sec3/1.3.3-pardue.tex}
\subfile{sec3/1.3.4-laczin.tex}
\subfile{sec3/1.3.5-matharu.tex}
\subfile{sec3/1.3.6-agwu.tex}
\subfile{sec3/1.3.7-james.tex}
\subfile{sec3/1.3.8-matharu.tex}
\subfile{sec3/1.3.9-mcgovern.tex}
\subfile{sec3/1.3.10-chernak.tex}

\pagebreak
\section{Naturality}
\subfile{ch1/sec4/1.4.1-nemec.tex}
\subfile{ch1/sec4/1.4.2-james.tex}
\subfile{ch1/sec4/1.4.3-agwu.tex}
\subfile{ch1/sec4/1.4.4-weinberg.tex}
\subfile{ch1/sec4/1.4.5-laczin.tex}
\subfile{ch1/sec4/1.4.6-matharu.tex}
\subfile{sec4/1.4.1-nemec.tex}
\subfile{sec4/1.4.2-james.tex}
\subfile{sec4/1.4.3-agwu.tex}
\subfile{sec4/1.4.4-weinberg.tex}
\subfile{sec4/1.4.5-laczin.tex}
\subfile{sec4/1.4.6-matharu.tex}

\pagebreak
\section{Equivalence of categories}
\subfile{ch1/sec5/1.5.1-pardue.tex}
\subfile{ch1/sec5/1.5.2-kousoulas.tex}
\subfile{ch1/sec5/1.5.3-chernak.tex}
\subfile{ch1/sec5/1.5.4-mcgovern.tex}
\subfile{ch1/sec5/1.5.5-agwu.tex}
\subfile{ch1/sec5/1.5.6-laczin.tex}
\subfile{ch1/sec5/1.5.7-mcgovern.tex}
\subfile{ch1/sec5/1.5.8-pardue.tex}
\subfile{ch1/sec5/1.5.9-chernak.tex}
\subfile{ch1/sec5/1.5.10-matharu.tex}
\subfile{ch1/sec5/1.5.11-weinberg.tex} % Ab -> Group
\subfile{ch1/sec5/1.5.11-chernak.tex} % Ring -> Ab
\subfile{ch1/sec5/1.5.11-kousoulas.tex} % Ring -> Group
\subfile{ch1/sec5/1.5.11-james.tex} % Ring -> Rng
\subfile{ch1/sec5/1.5.11-laczin.tex} % Field -> Ring
\subfile{ch1/sec5/1.5.11-matharu.tex} % Mod_R -> Ab
\subfile{sec5/1.5.1-pardue.tex}
\subfile{sec5/1.5.2-kousoulas.tex}
\subfile{sec5/1.5.3-chernak.tex}
\subfile{sec5/1.5.4-mcgovern.tex}
\subfile{sec5/1.5.5-agwu.tex}
\subfile{sec5/1.5.6-laczin.tex}
\subfile{sec5/1.5.7-mcgovern.tex}
\subfile{sec5/1.5.8-pardue.tex}
\subfile{sec5/1.5.9-chernak.tex}
\subfile{sec5/1.5.10-matharu.tex}
\subfile{sec5/1.5.11-weinberg.tex} % Ab -> Group
\subfile{sec5/1.5.11-chernak.tex} % Ring -> Ab
\subfile{sec5/1.5.11-kousoulas.tex} % Ring -> Group
\subfile{sec5/1.5.11-james.tex} % Ring -> Rng
\subfile{sec5/1.5.11-laczin.tex} % Field -> Ring
\subfile{sec5/1.5.11-matharu.tex} % Mod_R -> Ab

\pagebreak
\section{The art of the diagram chase}
\subfile{ch1/sec6/1.6.1-weinberg.tex}
\subfile{ch1/sec6/1.6.2-nemec.tex}
\subfile{ch1/sec6/1.6.3-kousoulas.tex}
\subfile{ch1/sec6/1.6.4-mcgovern.tex}
\subfile{ch1/sec6/1.6.5-james.tex}
\subfile{ch1/sec6/1.6.6-agwu.tex}
\subfile{sec6/1.6.1-weinberg.tex}
\subfile{sec6/1.6.2-nemec.tex}
\subfile{sec6/1.6.3-kousoulas.tex}
\subfile{sec6/1.6.4-mcgovern.tex}
\subfile{sec6/1.6.5-james.tex}
\subfile{sec6/1.6.6-agwu.tex}

\pagebreak
\section{The 2-category of categories}
\subfile{ch1/sec7/1.7.1-laczin.tex}
\subfile{ch1/sec7/1.7.2-weinberg.tex}
\subfile{ch1/sec7/1.7.3-weinberg.tex}
\subfile{ch1/sec7/1.7.4-kousoulas.tex}
\subfile{ch1/sec7/1.7.5-laczin.tex}
\subfile{ch1/sec7/1.7.6-pardue.tex}
\subfile{ch1/sec7/1.7.7-james.tex}
\subfile{sec7/1.7.1-laczin.tex}
\subfile{sec7/1.7.2-weinberg.tex}
\subfile{sec7/1.7.3-weinberg.tex}
\subfile{sec7/1.7.4-kousoulas.tex}
\subfile{sec7/1.7.5-laczin.tex}
\subfile{sec7/1.7.6-pardue.tex}
\subfile{sec7/1.7.7-james.tex}
\end{document}
2 changes: 1 addition & 1 deletion ch1/sec1/1.1.1-chernak.tex
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\paragraph{}
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\documentclass[main.tex]{subfiles}
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\begin{document}

\settheorem{1}{1}{11}
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2 changes: 1 addition & 1 deletion ch1/sec1/1.1.3-matharu.tex
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\paragraph{}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec2/1.2.4-laczin.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec2/1.2.5-kousoulas.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec2/1.2.6-kousoulas.tex
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\documentclass[main.tex]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec3/1.3.1-weinberg.tex
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\paragraph{}
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% \begin{flushleft}
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2 changes: 1 addition & 1 deletion ch1/sec3/1.3.2-weinberg.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
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\maketitle

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2 changes: 1 addition & 1 deletion ch1/sec3/1.3.4-laczin.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec3/1.3.5-matharu.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
\begin{document}
\begin{exercise}
For any group $G$, we may define other groups:
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec4/1.4.5-laczin.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
\begin{document}

\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
\begin{document}

\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\begin{exercise}
Characterize the categories that are equivalent to
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\subparagraph{\(\Ring\to\Ab\)}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\subparagraph{\(\Ring\to\Rng\)}
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2 changes: 1 addition & 1 deletion ch1/sec5/1.5.11-kousoulas.tex
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\subparagraph{\(\Ring\to\Group\)}
\begin{proof}
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2 changes: 1 addition & 1 deletion ch1/sec5/1.5.11-laczin.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\subparagraph{\(\Field\to\Ring\)}
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\subparagraph{\(\Mod{R}\to\Ab\)}
\begin{proof}
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\documentclass[main.tex]{subfiles}
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\maketitle

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\documentclass[main.tex]{subfiles}
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\paragraph{}
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\paragraph{}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec5/1.5.6-laczin.tex
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\documentclass[main.tex]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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2 changes: 1 addition & 1 deletion ch1/sec6/1.6.1-weinberg.tex
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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\documentclass[main.tex]{subfiles}
\documentclass[../../main]{subfiles}
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\paragraph{}
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