\documentclass{minimal}
\begin{document}

\[
  \Omega = \bigtimes_{\alpha \in \USet} \Omega_\alpha, \qquad
  \calF = \bigtimes_{\alpha \in \USet} \calF_\alpha, \qquad
  \prob = \prod_{\alpha \in \USet} \prob_\alpha, \qquad
  % \quad
  % \mathbb{U} =
  % \begin{cases}
  %   \{w,g,v\} & \text{if $\LSet = 1$,} \\[0.5em]
  %   \{w,f,g,v\} & \text{if $\LSet = 0$.}
  % \end{cases}
\]

Hello $1 + 1 = 2$ world

\end{document}
