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arXiv 2011-12-11 0 views

Correction of metrics

Petrov, F. V. · Zatitskiy, P. B.

Original · EN

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.

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