A Characterization of the Vector Lattice of Measurable Functions

Simone Cerreia-Vioglio, Paolo Leonetti, Fabio Maccheroni

Given a probability measure space $(X,\Sigma ,\mu )$, it is well known that the Riesz space $L^0(\mu )$ of equivalence classes of measurable functions $f:X\to \mathbf{R}$ is universally comp…