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\documentclass{amsart}
\usepackage[foot]{amsaddr}
\usepackage{bbm}
\usepackage{mathbbol}
\usepackage{amsmath,amssymb,amsfonts, amsthm, graphicx}
\usepackage{mathtools}
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\usepackage{stmaryrd}
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\usepackage{graphicx}%for \rotatebox
\usepackage[dvipsnames]{xcolor}
\usepackage{txfonts}
\usepackage{tikz}
\usetikzlibrary{arrows,shapes,snakes,automata,backgrounds,petri,positioning}
\usepackage{comment}
\usepackage[pdfborder=0,colorlinks=true,linktocpage,linkcolor=blue,urlcolor=cyan]{hyperref}
\usepackage{csquotes}
\usepackage{comment}
\usepackage[normalem]{ulem}
\usepackage{enumerate}
\usepackage{verbatim}
\usepackage{xcolor}
\usepackage{amsmath}
%\usepackage{fullpage}

\setlength{\textwidth}{\paperwidth}
\addtolength{\textwidth}{-2in}
\calclayout

%diagram stuff
%try:  https://tikzcd.yichuanshen.de/
%xymatrix
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\tikzset{every picture/.style={line width=0.75pt}} %set default line width to 0.75pt
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\usepackage[all,pdftex, cmtip]{xy}
\newdir{ >}{{}*!/-10pt/@{>}}
\newdir{> }{{}*!/10pt/@{>}}
\newcommand{\cd}[2][]{\vcenter{\hbox{\xymatrix#1{#2}}}}
\newcommand{\ltwocell}[3][0.5]{\ar@{}[#2] \ar@{=>}?(#1)+/r 0.2cm/;?(#1)+/l 0.2cm/_{#3}}

\newcommand{\hdash}{\rotatebox[origin=c]{90}{$\vdash$}}

%tikz-cd
\usepackage{amssymb}
\usepackage{tikz}
\usetikzlibrary{cd}
\usepackage{tikz-cd}
\tikzset{% for drawing adjunctions
    symbol/.style={%
        draw=none,
        every to/.append style={%
            edge node={node [sloped, allow upside down, auto=false]{$#1$}}}
    }
}

%roman enumeration
\usepackage{enumerate}
\newenvironment{enumroman}{\begin{enumerate}[\upshape (i)]}{\end{enumerate}}
\renewcommand{\theenumi}{\roman{enumi}}

%blackboard bold numbers and stuff
\newcommand{\bbefamily}{\fontencoding{U}\fontfamily{bbold}\selectfont}
\newcommand{\textbbe}[1]{{\bbefamily #1}}
\DeclareMathAlphabet{\mathbbe}{U}{bbold}{m}{n}

%theorem stuff
\theoremstyle{plain}
\newtheorem{thm}{Theorem}[section]
\newtheorem{cor}[thm]{Corollary}
\newtheorem{claim}[thm]{Claim}
\newtheorem{prop}[thm]{Proposition}
\newtheorem{lem}[thm]{Lemma}

\theoremstyle{definition}
\newtheorem{defn}[thm]{Definition}
\newtheorem{digression}[thm]{Digression}
\newtheorem{conj}[thm]{Conjecture}
\newtheorem{const}[thm]{Construction}

\theoremstyle{remark}
\newtheorem{ex}[thm]{Example}
\newtheorem{rmk}[thm]{Remark}
\newtheorem{notation}[thm]{Notation}

%numbering
\setcounter{tocdepth}{1}
\makeatletter
\let\c@equation\c@thm
\makeatother
\numberwithin{equation}{section}

%r arrows double headed with \simeq symbol
\newcommand{\refinement}{%
  \xrightarrow{\simeq}\mathrel{\mkern-14mu}\rightarrow
}
\usepackage{extarrows}

%bra-ket notation
\usepackage{mathtools}
\DeclarePairedDelimiter\bra{\langle}{\rvert}
\DeclarePairedDelimiter\ket{\lvert}{\rangle}
\DeclarePairedDelimiterX\braket[2]{\langle}{\rangle}{#1 \delimsize\vert #2}

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%Yoneda 
\usepackage[utf8]{inputenc}
\DeclareFontFamily{U}{min}{}
\DeclareFontShape{U}{min}{m}{n}{<-> udmj30}{}
\newcommand\yo{\!\text{\usefont{U}{min}{m}{n}\symbol{'207}}\!}

\usepackage{bbm}


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%categories
\newcommand{\cat}[1]{\textup{\textsf{#1}}}% for categories
\newcommand{\Set}{\operatorname{\mathbf{Set}}}
\newcommand{\mat}{\operatorname{\mathbf{Mat}}}
\newcommand{\Cat}{\operatorname{\mathbf{Cat}}}
\newcommand{\Vect}[1]{\mathbf{Vect}_{#1}}%
\newcommand{\yonenr}[1]{\mathfrak Y_{#1}}%
\newcommand{\functorcat}[2]{[#1,#2]}%
\newcommand{\map}{\textbf{Map}}
\newcommand{\Map}{\operatorname{\mathbf{Map}}}
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\newcommand{\Id}{\mathrm{Id}}
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\newcommand{\FVect}{\mathbf{FVect}}
\newcommand{\Field}{\operatorname{\mathbf{Field}}}

%blackboard bold
\newcommand{\ff}{\mathbb{F}}
\newcommand{\nn}{\mathbb{N}}
\newcommand{\rr}{\mathbb{R}}
\newcommand{\qq}{\mathbb{Q}}
\newcommand{\BB}{\mathbb{B}}

%big plus symbol
\usepackage{amsmath}
\DeclareMathOperator*{\foo}{\scalerel*{+}{\sum}}
\DeclareMathOperator*{\barr}{\scalerel*{+}{\textstyle\sum}}
\usepackage{scalerel}


%calligraphic
\newcommand{\Ca}{\mathcal{C}}
\newcommand{\Oa}{\mathrm{Sub}}
\newcommand{\Da}{\mathcal{C}}
\newcommand{\Ea}{\mathcal{E}}
\newcommand{\Ba}{\mathcal{B}}

%misc shortcuts
\newcommand{\lra}{\longrightarrow}
\newcommand{\xto}[1]{\xrightarrow{#1}}
\newcommand{\op}{^\text{op}}
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\newcommand{\id}{\mathrm{id}}
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\newcommand{\inv}{^{-1}}
\newcommand{\End}{\operatorname{End}}
\newcommand{\Sub}{\operatorname{Sub}}
\newcommand{\Left}{\operatorname{Left}}
\newcommand{\Right}{\operatorname{Right}}
\newcommand{\Cov}{\operatorname{Cov}}
\DeclareMathOperator{\Hom}{Hom}

\allowdisplaybreaks

%use this to identify who is writing; LaTeX gurus please feel free to fiddle with the macro
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\newcommand{\iam}[1]{\vspace{.1cm}{\fbox{\textbf{#1}}}\vspace{.1cm}}
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\usepackage{float}
%%--------------------------------------


\begin{document}
\title{Introduction to Category Theory}




\address{ $\dagger$ Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190 CH-8057 Zürich}



%\begin{abstract}
%\end{abstract}


\maketitle

\tableofcontents

%%--------------------------------------
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\section{Instructions}
Welcome one and all to our shared exercise sheet! The purpose of this space is two-fold. Firstly, because the only way to learn is to do, and listening to your peer's talks is not enough to understand category theory. Secondly, because our goal is vast, and if we were to cover the whole book (plus our extra topics at the end) we would need twice as much time. 

In class the speaker will always explain the most important topics, but you should always try, before or after the lecture, to read the relevant chapter on your own and attempt one of the questions below. These will allow you a chance to learn, and the speaker an excuse to skip the less interesting topics.
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\hfill \break
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\begin{itemize}
\item Questions, answers and comments will be posted the following way: 
\end{itemize}
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\subsection{} What is the most creative color?\hfill \break
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\iam{Student}
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