Correction of metrics
Metric Geometry
2011-12-13 v1 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1112.2380,
title = {Correction of metrics},
author = {F. V. Petrov and P. B. Zatitskiy},
journal= {arXiv preprint arXiv:1112.2380},
year = {2011}
}
Comments
6 pages