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On an Open Problem by Schweizer and Sklar

Ying Mingsheng (Dept. of Math.)  
In this paper,we discuss an open problem proposed by Schweizer and Sidar (see Schweizer B,Sklar A.Probabilistic Metric Spaces,North-Holland(Amsterdam, 1983),Problem 7.9.6)and improve some results related to this problem obtained by Schweizer and Sklar.In particular,some necessary conditions approximate to the known sufficient conditions are found.
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