Geodesic
The almost sure Skorokhod representation for subsequences in nonmetric spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 42 (1997) no. 1, pp. 209-216

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It is shown that in a large class of topological spaces every uniformly tight sequence of random elements contains a subsequence which admits the usual almost sure (a.s.) Skorokhod representation on the Lebesgue interval.
Keywords: the a.s. Skorokhod representation, convergence in distribution on nonmetric topological spaces, Prokhorov's theorem. 
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     author = {A. Jakubowski},
     title = {The almost sure {Skorokhod} representation for subsequences in nonmetric spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     year = {1997},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TVP_1997_42_1_a16/}
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A. Jakubowski. The almost sure Skorokhod representation for subsequences in nonmetric spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 42 (1997) no. 1, pp. 209-216. http://geodesic.mathdoc.fr/item/TVP_1997_42_1_a16/