On -Convergence in Measure of a Sequence of Measurable Functions

In the study by Papanastassiou and Papachristodoulos, 2009 the notion of ?-convergence in measure was introduced. In a natural way ?-convergence in measure induces an equivalence relation on the space ? of all sequences of measurable functions converging in measure to zero. We show that the quotient space ℳ is a complete but not compact metric space.