\relax \providecommand\zref@newlabel[2]{} \providecommand\hyper@newdestlabel[2]{} \providecommand\HyField@AuxAddToFields[1]{} \providecommand\HyField@AuxAddToCoFields[2]{} \@writefile{toc}{\contentsline {section}{\numberline {1}Lecture 1 -- Measures and sigma-Fields}{1}{section.1}\protected@file@percent } \newlabel{sec:lec01}{{1}{1}{Lecture 1 -- Measures and sigma-Fields}{section.1}{}} \newlabel{sec:lec01@cref}{{[section][1][]1}{[1][1][]1}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Notation and set-theoretic preliminaries}{1}{subsection.1.1}\protected@file@percent } \@writefile{toc}{\contentsline {subsection}{\numberline {1.2}$\sigma $-fields}{1}{subsection.1.2}\protected@file@percent } \newlabel{def:sigma-field}{{1.1}{1}{$\sigma $-field}{tcb@cnt@definition.1.1}{}} \newlabel{def:sigma-field@cref}{{[tcb@cnt@definition][1][1]1.1}{[1][1][]1}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Measures}{2}{subsection.1.3}\protected@file@percent } \newlabel{def:measure}{{1.2}{2}{Measure}{tcb@cnt@definition.1.2}{}} \newlabel{def:measure@cref}{{[tcb@cnt@definition][2][1]1.2}{[1][2][]2}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {1.4}Special classes of measures}{2}{subsection.1.4}\protected@file@percent } \newlabel{def:special-measures}{{1.3}{2}{Probability, finite, and $\sigma $-finite measures}{tcb@cnt@definition.1.3}{}} \newlabel{def:special-measures@cref}{{[tcb@cnt@definition][3][1]1.3}{[1][2][]2}{}{}{}} \@writefile{toc}{\contentsline {subsection}{\numberline {1.5}Examples on a finite sample space}{3}{subsection.1.5}\protected@file@percent } \gdef \@abspage@last{3}