\[ \newcommand{\d}{\mathrm{d}} \newcommand{\e}{\mathrm{e}} \newcommand{\i}{\mathrm{i}} \]

Let \(\omega\) be a differential form . Then in local coordinates it can be written as

\begin{equation*} \sum_{I}' \omega_Idx^I, \end{equation*}

where the components \(\omega_I\) are continuous functions. Note, the notation is leaned on (0x66d1b59f) .