On Skorokhod's convergence (Q2726251)

This paper was first published in [Teor. Veroyatn. Primen. 1, 239-247 (1956; Zbl 0074.34102)] in Russian. This is the translation of this paper. This paper contains a new definition of the Skorokhod's convergence (\(S\)-convergence as it was defined in the paper) in a \(D\)-space of functions having only first order discontinuities which was introduced by \textit{A. V. Skorokhod} [ibid. 1, 289-319 (1956; Zbl 0074.33802); for the English translation see below]. The new definition applies to a function \(f(t)\) of a real variable \(t\) which takes values in an arbitrary metric space. It is proved that the \(S\)-convergence may be generated by the metric \(s(f,g)\) which converts \(S\) into a complete metric space.NEWLINENEWLINEFor the entire collection see [Zbl 0956.00022].