The maximum of the 1-measurement of a metric measure space

研究成果: Article査読

1 被引用数 (Scopus)

抄録

For a metric measure space, we consider the set of distributions of 1-Lipschitz functions, which is called the 1-measurement. On the 1-measurement, we have the Lipschitz order relation introduced by M. Gromov. The aim of this paper is to study the maximum and maximal elements of the 1-measurement of a metric measure space with respect to the Lipschitz order. We present a necessary condition of a metric measure space for the existence of the maximum of the 1-measurement. We also consider a metric measure space that has the maximum of its 1-measurement.

本文言語English
ページ(範囲)635-650
ページ数16
ジャーナルJournal of the Mathematical Society of Japan
71
2
DOI
出版ステータスPublished - 2019

ASJC Scopus subject areas

  • 数学 (全般)

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