From f295abc3e9f3d59d51da6623053a379921a4fb5a Mon Sep 17 00:00:00 2001 From: Joshua Moerman Date: Tue, 25 Nov 2014 16:52:13 +0100 Subject: [PATCH] Fixes some latex issues wrt headings --- thesis/notes/A_K_Quillen_Pair.tex | 2 +- thesis/preamble.tex | 6 +++--- thesis/thesis.tex | 2 +- 3 files changed, 5 insertions(+), 5 deletions(-) diff --git a/thesis/notes/A_K_Quillen_Pair.tex b/thesis/notes/A_K_Quillen_Pair.tex index 14dd6e2..4e2f0c1 100644 --- a/thesis/notes/A_K_Quillen_Pair.tex +++ b/thesis/notes/A_K_Quillen_Pair.tex @@ -1,5 +1,5 @@ -\chapter{\texorpdfstring{$A$}{A} and \texorpdfstring{$K$}{K} form a Quillen pair} +\chapter[A and K form a Quillen pair]{$A$ and $K$ form a Quillen pair} \label{sec:a-k-quillen-pair} We will prove that $A$ preserves cofibrations and trivial cofibrations. We only have to check this fact for the generating (trivial) cofibrations in $\sSet$. Note that the contravariance of $A$ means that a (trivial) cofibrations should be sent to a (trivial) fibration. diff --git a/thesis/preamble.tex b/thesis/preamble.tex index 95c70da..944f41a 100644 --- a/thesis/preamble.tex +++ b/thesis/preamble.tex @@ -70,8 +70,8 @@ \newcommand{\dgAlg}[1]{\cat{dg\mbox{-}{#1}Alg}} % differential graded algebras over a ring \newcommand{\Ch}[1]{\cat{Ch_{n\geq0}({#1})}} % chain complexes \newcommand{\CoCh}[1]{\cat{Ch^{n\geq0}({#1})}} % cochain complexes -\newcommand{\DGA}{\cat{DGA}} % cochain algebras -\newcommand{\CDGA}{\cat{CDGA}} % commutative cochain algebras +\DeclareRobustCommand{\DGA}{\cat{DGA}} % cochain algebras +\DeclareRobustCommand{\CDGA}{\cat{CDGA}} % commutative cochain algebras \newcommand{\cof}{\hookrightarrow} % cofibration \newcommand{\fib}{\twoheadrightarrow} % fibration @@ -114,7 +114,7 @@ \renewcommand{\deg}[1]{{|{#1}|}} \newcommand{\Char}[1]{char({#1})} \newcommand{\RH}{\widetilde{H}} % reduced homology -\renewcommand{\C}{\mathcal{C}} % Serre mod C class +\DeclareRobustCommand{\C}{\mathcal{C}} % Serre mod C class \newcommand{\Apl}[0]{{A_{PL}}} % Apl simplicial set of polynomials \newcommand{\titleCDGA}{\texorpdfstring{$\CDGA$}{CDGA}} diff --git a/thesis/thesis.tex b/thesis/thesis.tex index dab4033..17ddad8 100644 --- a/thesis/thesis.tex +++ b/thesis/thesis.tex @@ -18,7 +18,7 @@ \part{Basics Of Rational Homotopy Theory} \include{chapters/Basics_Of_Rational_Homotopy_Theory} -\part{CDGAs As Algebraic Models} +\part{CDGA's As Algebraic Models} \include{chapters/CDGA_As_Algebraic_Model_For_Rational_Homotopy_Theory} \part{Applications and Further Topics}