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In the study by Papanastassiou and Papachristodoulos, 2009 the notion of p-convergence in measure was introduced. In a natural way p-convergence in measure induces an equivalence relationon the space M of all sequences of measurable functions converging inmeasure to zero. We show that the quotient space ℳ is a complete butnot compact metric space

Onp-Convergence in Measure of a Sequence of Measurable Functions