Master thesis on Rational Homotopy Theory https://github.com/Jaxan/Rational-Homotopy-Theory
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% clickable tocs
\usepackage{hyperref}
% use english
\usepackage[english, british]{babel}
% floating figures
\usepackage{float}
\usepackage{tikz}
\usetikzlibrary{matrix, arrows, decorations}
\tikzset{node distance=2.5em, row sep=2.2em, column sep=2.7em, auto}
\usepackage{graphicx}
\graphicspath{ {./images/} }
\usepackage{caption}
\usepackage{subcaption}
% Matrices have a upper bound for its size
\setcounter{MaxMatrixCols}{20}
% Remove trailing `contents` after toc
\renewcommand{\contentsname}{}
% for the fib arrow
\usepackage{amssymb}
% mathbb for lowercase bbs
\usepackage{bbm}
% Some basic objects
\newcommand{\N}{\mathbb{N}} % natural numbers
\newcommand{\Np}{{\mathbb{N}^{>0}}} % positive numbers
\newcommand{\Z}{\mathbb{Z}} % integers
\newcommand{\R}{\mathbb{R}} % reals
\renewcommand{\k}{\mathbbm{k}} % default ground ring
% Basic category stuff
\newcommand{\cat}[1]{\mathbf{#1}} % the category of ...
\newcommand{\Hom}{\mathbf{Hom}}
\newcommand{\id}{\mathbf{id}}
% Categories
\newcommand{\Set}{\cat{Set}} % sets
\newcommand{\sSet}{\cat{sSet}} % simplicial sets
\newcommand{\Top}{\cat{Top}} % topological spaces
\newcommand{\DELTA}{\cat{\Delta}} % the simplicial cat
\newcommand{\grMod}[1]{\cat{gr\mbox{-}{#1}Mod}} % graded modules over a ring
\newcommand{\grAlg}[1]{\cat{gr\mbox{-}{#1}Alg}} % graded algebras over a ring
\newcommand{\DGA}{\cat{DGA}} % differential graded algebras
\newcommand{\CDGA}{\cat{CDGA}} % commutative dgas
\newcommand{\cof}{\hookrightarrow} % cofibration
\newcommand{\fib}{\twoheadrightarrow} % fibration
\newcommand{\we}{\tot{\simeq}} % weak equivalence
% Notation and operators
\newcommand{\I}{\,\mid\,} % seperator in set notation
\newcommand{\del}{\partial} % boundary
\newcommand{\iso}{\cong} % isomorphic
\newcommand{\eq}{\sim} % homotopic
\newcommand{\tot}[1]{\xrightarrow{\,\,{#1}\,\,}} % arrow with name
\newcommand{\mapstot}[1]{\xmapsto{\,\,{#1}\,\,}} % mapsto with name
\DeclareMathOperator*{\im}{im}
\DeclareMathOperator*{\colim}{colim}
\DeclareMathOperator*{\tensor}{\otimes}
\DeclareMathOperator*{\bigtensor}{\bigotimes}
\renewcommand{\deg}[1]{{|{#1}|}}
% restriction of a function
\newcommand\restr[2]{{% we make the whole thing an ordinary symbol
\left.\kern-\nulldelimiterspace % automatically resize the bar with \right
#1 % the function
\vphantom{\big|} % pretend it's a little taller at normal size
\right|_{#2} % this is the delimiter
}}
% todos
\newcommand{\todo}[1]{
\addcontentsline{tdo}{todo}{\protect{#1}}
$\ast$ \marginpar{\tiny $\ast$ #1}
}
\theoremstyle{plain}
\newtheorem{theorem}{Theorem}[section]
\newtheorem{proposition}[theorem]{Proposition}
\newtheorem{lemma}[theorem]{Lemma}
\newtheorem{corollary}[theorem]{Corollary}
\theoremstyle{definition}
\newtheorem{definition}[theorem]{Definition}
\newtheorem{notation}[theorem]{Notation}
\newtheorem{example}[theorem]{Example}
% headings for a table
\newcommand*{\thead}[1]{\multicolumn{1}{c}{\bfseries #1}}