A NOTE ON ISOMETRIC METRIZATION OF PROBABILISTIC METRIC SPACES

被引:0
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作者
方锦暄
机构
[1] Nanjing 210024
[2] Nanjing Normal University
[3] Department of Mathematics
[4] PRC
关键词
(generalized) Menger space; space generated by family of pseudo-metrics; metric space; isometrically isomorphism;
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摘要
The metrization of a probabilistic metric space (for short, PM-space )usually implies the metrization of its (ε,λ)-topological structure. Therefore, if a PM-space is metrizable, it only implies that its topological properties do not have an essential distinction with metric space. However, PM-spaces also have abundant and unique probabilistic metric properties.
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页码:1497 / 1500
页数:4
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