Geodesic
Random elements and their convergence in topological spaces
Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 1, pp. 88-100

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Strong and weak convergence with probability one and in probability of random elements in topological spaces are considered. Some theorems on convergence of martingales and series of independent symmetrical random elements are obtained. 
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     author = {V. V. Buldygin},
     title = {Random elements and their convergence in topological spaces},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {88--100},
     publisher = {mathdoc},
     volume = {26},
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     year = {1981},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1981_26_1_a6/}
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V. V. Buldygin. Random elements and their convergence in topological spaces. Teoriâ veroâtnostej i ee primeneniâ, Tome 26 (1981) no. 1, pp. 88-100. http://geodesic.mathdoc.fr/item/TVP_1981_26_1_a6/