Kisyński, Jan Metrization of \(D_ E [0,1]\) by Hausdorff distance between graphs. (English) Zbl 0736.54007 Ann. Pol. Math. 51, 195-203 (1990). Summary: The Skorokhod topology in the space of right-continuous functions \(t\rightarrow x(t)\), \(t\in[0,1]\), without oscillatory discontinuities coincides with the topology determined by the metric \(\delta(x,y)=\) Hausdorff distance between graphs of the maps \(t\rightarrow (x(t-),x(t))\) and \(t\rightarrow(y(t-),y(t))\). Cited in 2 Documents MSC: 54C35 Function spaces in general topology Keywords:Skorokhod topology; space of right-continuous functions; Hausdorff distance between graphs PDFBibTeX XMLCite \textit{J. Kisyński}, Ann. Pol. Math. 51, 195--203 (1990; Zbl 0736.54007) Full Text: DOI