Fixes some latex issues wrt headings
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3 changed files with 5 additions and 5 deletions
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\chapter{\texorpdfstring{$A$}{A} and \texorpdfstring{$K$}{K} form a Quillen pair}
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\chapter[A and K form a Quillen pair]{$A$ and $K$ form a Quillen pair}
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\label{sec:a-k-quillen-pair}
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\label{sec:a-k-quillen-pair}
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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.
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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.
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@ -70,8 +70,8 @@
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\newcommand{\dgAlg}[1]{\cat{dg\mbox{-}{#1}Alg}} % differential graded algebras over a ring
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\newcommand{\dgAlg}[1]{\cat{dg\mbox{-}{#1}Alg}} % differential graded algebras over a ring
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\newcommand{\Ch}[1]{\cat{Ch_{n\geq0}({#1})}} % chain complexes
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\newcommand{\Ch}[1]{\cat{Ch_{n\geq0}({#1})}} % chain complexes
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\newcommand{\CoCh}[1]{\cat{Ch^{n\geq0}({#1})}} % cochain complexes
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\newcommand{\CoCh}[1]{\cat{Ch^{n\geq0}({#1})}} % cochain complexes
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\newcommand{\DGA}{\cat{DGA}} % cochain algebras
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\DeclareRobustCommand{\DGA}{\cat{DGA}} % cochain algebras
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\newcommand{\CDGA}{\cat{CDGA}} % commutative cochain algebras
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\DeclareRobustCommand{\CDGA}{\cat{CDGA}} % commutative cochain algebras
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\newcommand{\cof}{\hookrightarrow} % cofibration
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\newcommand{\cof}{\hookrightarrow} % cofibration
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\newcommand{\fib}{\twoheadrightarrow} % fibration
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\newcommand{\fib}{\twoheadrightarrow} % fibration
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@ -114,7 +114,7 @@
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\renewcommand{\deg}[1]{{|{#1}|}}
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\renewcommand{\deg}[1]{{|{#1}|}}
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\newcommand{\Char}[1]{char({#1})}
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\newcommand{\Char}[1]{char({#1})}
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\newcommand{\RH}{\widetilde{H}} % reduced homology
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\newcommand{\RH}{\widetilde{H}} % reduced homology
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\renewcommand{\C}{\mathcal{C}} % Serre mod C class
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\DeclareRobustCommand{\C}{\mathcal{C}} % Serre mod C class
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\newcommand{\Apl}[0]{{A_{PL}}} % Apl simplicial set of polynomials
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\newcommand{\Apl}[0]{{A_{PL}}} % Apl simplicial set of polynomials
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\newcommand{\titleCDGA}{\texorpdfstring{$\CDGA$}{CDGA}}
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\newcommand{\titleCDGA}{\texorpdfstring{$\CDGA$}{CDGA}}
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@ -18,7 +18,7 @@
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\part{Basics Of Rational Homotopy Theory}
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\part{Basics Of Rational Homotopy Theory}
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\include{chapters/Basics_Of_Rational_Homotopy_Theory}
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\include{chapters/Basics_Of_Rational_Homotopy_Theory}
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\part{CDGAs As Algebraic Models}
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\part{CDGA's As Algebraic Models}
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\include{chapters/CDGA_As_Algebraic_Model_For_Rational_Homotopy_Theory}
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\include{chapters/CDGA_As_Algebraic_Model_For_Rational_Homotopy_Theory}
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\part{Applications and Further Topics}
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\part{Applications and Further Topics}
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