Stochastic Metrics

Ulrich Höhle
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Ulrich Höhle: Bergische Universität, Fachbereich Mathematik

Chapter Chapter 7 in Many Valued Topology and its Applications, 2001, pp 255-278 from Springer

Abstract: Abstract The history of the theory of stochastic metric spaces begins with A. Špaček’s work on random metric spaces during the period of 1956 — 1959 (cf. [105, 106]). A first comment on Špaček’s ideas goes back to K. Menger, B. Schweizer and A, Sklar 1959 (cf. [80]). Subsequently, in the sixties and seventies of the last century stochastic metric spaces and their relations to probabilistic metric spaces (cf. [96]) have been investigated by various authors. In this context we would like to give prominence to J.B. Brown, A.N. Šerstnev, H. Sherwood (cf. [13, 99, 100, 101]).

Keywords: Limit Point; Topological Property; Separation Axiom; Etric Space; Neighborhood Filter (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1007/978-1-4615-1617-0_8

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