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References
Egbert, R.J.: Products and quotients of probabilistic metric spaces. Pacific J. Math. 24, 437–455 (1968).
Kelley, J.L.: General topology. Princeton: D. Van Nostrand Co., Inc. 1955.
Ling, C.H.: Representation of associative functions. Publ. math., Debrecen 12, 189–212 (1965).
Menger, K.: Statistical metrics. Proc. nat. Acad. Sci., U.S.A. 28, 535–537 (1942).
Mushtari, D.Kh.: On the completion of random metric spaces (Russian). Kazan. gosudarst. Univ., učenye Zapiski 127, 109–119 (1967).
—, šerstnev, A.N.: On methods of introducing a topology into random metric spaces (Russian). Izvestiya vysš. učebn. Zaved., Mat. 6, 99–106 (1966).
Schweizer, B., Sklar, A.: Statistical metric spaces. Pacific J. Math. 10, 313–334 (1960).
— —, Thorp, E.: The metrization of statistical metric spaces. Pacific J. Math. 10, 673–675 (1960).
Sehgal, V.M.: Some fixed point theorems in functional analysis and probability. Ph. D. dissertation, Wayne State Univ., 1966.
šerstnev, A.N.: On the probabilistic generalization of metric spaces. Kazan. gosudarst. Univ., učenye Zapiski 124, 109–119 (1967).
—: Triangle inequalities for random metric spaces. Kazan. gosudarst. Univ., učenye Zapiski 125, 90–93 (1965).
Sherwood, H.: On the completion of probabilistic metric spaces. Z. Wahrscheinlichkeitstheorie verw. Geb. 6, 62–64 (1966).
—: On E-spaces and their relation to other classes of probabilistic metric spaces. J. London math. Soc. 44, 441–448 (1969).
Sibley, D.A.: A metric for weak convergence of distribution functions. Notices Amer. math. Soc. 15, 808 (1968).
Stevens, R.R.: Metrically generated probabilistic metric spaces. Fundamenta Math. 61, 259–269 (1968).
Wald, A.: On a statistical generalization of metric spaces. Proc. nat. Acad. Sci., U.S.A. 29, 196–197 (1943).
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This research was supported by NSF grants GP-6342 and GP-13773.
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Sherwood, H. Complete probabilistic metric spaces. Z. Wahrscheinlichkeitstheorie verw Gebiete 20, 117–128 (1971). https://doi.org/10.1007/BF00536289
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DOI: https://doi.org/10.1007/BF00536289