First commit. The writing of my dissertation has officially begun.

main.tex

+\documentclass[12pt,a4paper]{report}
+
+\usepackage{mystyle}
+
+\title{Homology of $\omega$-categories}
+\author{Léonard Guetta}
+\begin{document}
+
+\maketitle
+
+\include{omegacat}
+\end{document}

mystyle.sty

+\ProvidesPackage{mystyle}
+
+% Layout
+
+\usepackage[utf8]{inputenc}
+
+% Maths packages
+
+\usepackage{amsmath,amssymb,amsthm}
+
+\usepackage{tikz-cd}
+
+% Theorems
+
+\theoremstyle{plain}
+\newtheorem{theorem}{Theorem}[section]
+\newtheorem{lemma}[theorem]{Lemma}
+\newtheorem{scholia}[theorem]{Scholia}
+\newtheorem{proposition}[theorem]{Proposition}
+\newtheorem{fact}[theorem]{Fact}
+\newtheorem{corollary}[theorem]{Corollary}
+
+\theoremstyle{definition}
+\newtheorem{definition}[theorem]{Definition}
+\newtheorem{remark}[theorem]{Remark}
+\newtheorem*{convention}{Convention}
+\newtheorem*{notation}{Notation}
+\newtheorem{paragr}[theorem]{}
+\newtheorem{example}[theorem]{Example}
+
+\theoremstyle{plain}
+\newtheorem*{theorem*}{Theorem} % Unnumbered theorem
+\newtheorem{theoremintro}{Theorem} % Theorem environment for the introduction. Numbering not following the sections
+
+\theoremstyle{definition}
+\newtheorem*{definition*}{Definition} %Unnumbered definition
+
+
+%%%%%% MACROS %%%%%%%
+
+% oo-categories
+\newcommand{\oo}{\omega}
+\newcommand{\Cat}{\mathbf{Cat}}
+\newcommand{\ooCat}{\mathbf{\oo Cat}}
+\newcommand{\nCat}{\mathbf{n Cat}}
+
+% Source and target
+\newcommand{\s}[1]{s^{(#1)}}
+\newcommand{\sk}{\s{k}} 
+\newcommand{\t}[1]{t^{(#1)}}
+\newcommand{\tk}{\t{k}}
+
+% ad hoc
+\newcommand{\nbar}{\mathbb{N}\cup\{ \oo \}}

omegacat.tex

+\chapter{$\oo$-Category theory}
+\section{$\oo$-graphs, $\oo$-magmas and $\oo$-categories}
+
+\begin{paragr}
+  An \emph{$\oo$-graph} $C$ consists of a sequence $(C_k)_{k \in \mathbb{N}}$ of sets together with maps
+  \[ \begin{tikzcd}
+    C_{k-1} &\ar[l,"s",shift left] \ar[l,"t"',shift right] C_{k}
+  \end{tikzcd}
+  \]
+  for every $k > 0$, satisfying the \emph{globular identities}:
+  \begin{equation*}
+  \left\{
+  \begin{aligned}
+    s \circ s &= s \circ t, \\
+    t \circ t &= t \circ s.
+  \end{aligned}
+  \right.
+  \end{equation*}
+  Elements of $C_k$ are called \emph{$k$-cells}.
+  For $x$ a $k$-cell with $k>0$, $s(x)$ is the \emph{source} of $x$ and $t(x)$ is the \emph{target} of $x$.
+  
+  %Similarly, for $n \in \mathbb{N}$, an \emph{$n$-graph} $C$ is a finite sequence $(C_k)_{0 \leq k \leq n}$ of sets together with maps
+%  \[ \begin{tikzcd}
+%    C_{k-1} &\ar[l,"s",shift left] \ar[l,"t"',shift right] C_{k}
+%  \end{tikzcd}
+%  \]
+%  for every $0 <k < n$, satisfying the same globular identities.
+  \end{paragr}