Abstract
We consider various classes of multidimensional stopping times and characterize their basic properties. Next we describe a method for identifying probability measures defined on products of Baire σ-fields in topological spaces. These two areas of investigation constitute the background for the study of group-valued additive processes with randomly changing multidimensional time parameters. Using established techniques we prove a general reflection principle and strong Markov property for multiparameter additive processes taking values in a T 0 topological Abelian group. We discuss also the case of a noncommutative group.
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