Correction of metrics

Details Correction of metrics Correction of metrics

2011-12-11

arxiv.org/abs/1112.2380v1

Zapiski Nauchn. Sem. POMI v. 390 (2011), pp. 201-209 (Russian)

Mathematics

Metric Geometry

6 pages

Scientific paper

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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