Correction of metrics

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.

6 pages

References in corpus (1)

• Scaling entropy and automorphisms with purely point spectrum

Cited by in corpus (2)

• General removal lemma
• Virtual continuity of the measurable functions of several variables, and Sobolev embedding theorems