\relax 
\@writefile{toc}{\contentsline {part}{I\hspace  {1em}Fundamentals}{1}{}\protected@file@percent }
\@writefile{toc}{\contentsline {chapter}{\numberline {1}Manifolds}{5}{}\protected@file@percent }
\@writefile{lof}{\addvspace {10\p@ }}
\@writefile{lot}{\addvspace {10\p@ }}
\@writefile{toc}{\contentsline {section}{\numberline {1.1}Submanifolds}{6}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.1}Immersed submanifold}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.2}Embedded (regular) submanifold}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.1.3}Implicit submanifold}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {section}{\numberline {1.2}Smooth manifolds}{7}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.1}Smooth functions}{8}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsubsection}{Diffeomorphism}{9}{}\protected@file@percent }
\@writefile{toc}{\contentsline {subsection}{\numberline {1.2.2}Smooth curves}{9}{}\protected@file@percent }
\@setckpt{1}{
\setcounter{page}{10}
\setcounter{equation}{0}
\setcounter{enumi}{0}
\setcounter{enumii}{0}
\setcounter{enumiii}{0}
\setcounter{enumiv}{0}
\setcounter{footnote}{0}
\setcounter{mpfootnote}{0}
\setcounter{part}{1}
\setcounter{chapter}{1}
\setcounter{section}{2}
\setcounter{subsection}{2}
\setcounter{subsubsection}{0}
\setcounter{paragraph}{0}
\setcounter{subparagraph}{0}
\setcounter{figure}{0}
\setcounter{table}{0}
\setcounter{parentequation}{0}
\setcounter{float@type}{8}
\setcounter{algorithm}{0}
\setcounter{ALC@unique}{0}
\setcounter{ALC@line}{0}
\setcounter{ALC@rem}{0}
\setcounter{ALC@depth}{0}
\setcounter{proposition}{0}
\setcounter{lemma}{0}
\setcounter{theorem}{0}
\setcounter{definition}{11}
\setcounter{example}{0}
\setcounter{corollary}{0}
}