Correction of metrics

被引：5
作者：
P. B. Zatitskiy
F. V. Petrov
机构：
[1] St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg
[2] P. L. Chebyshev Laboratory of St. Petersburg State University, St. Petersburg
来源：
Journal of Mathematical Sciences | 2012年 / 181卷 / 6期
关键词：
Measure Space; Triangle Inequality; Lebesgue Space; Nonnegative Function;
D O I：
10.1007/s10958-012-0720-8
中图分类号：
学科分类号：
摘要：
We prove that a symmetric nonnegative function of two variables on a Lebesgue space that satisfies the triangle inequality for almost all triples of points is equivalent to some semimetric. Some other properties of metric triples (spaces with structures of a measure space and a metric space) are discussed. Bibliography: 4 titles. © 2012 Springer Science+Business Media, Inc.
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页码：867 / 870
页数：3
相关论文
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[2]  
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[3]  
Vershik A.M., The universal Uryson space, Gromov's metric triples, and random metrics on the series of natural numbers, Russian Math. Surveys, 53, 5, pp. 921-928, (1998)
[4]  
Vershik A., Scaling entropy and automorphisms with purely point spectrum
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