sentence1: the space d is endowed with the skorohod j 1 -topology , is equipped with the borel σ-algebra b , and is metrised by a complete separable metric , see ethier and kurtz for the definition and properties .
sentence2: it is assumed to be endowed with the skorohod j 1 -topology and metrised by a complete separable metric , see ethier and kurtz for the definition and properties .