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Boundedness of precompact sets of metric measure spaces

Metric Geometry 2021-05-04 v1

Abstract

We give a detailed proof to Gromov's statement that precompact sets of metric measure spaces are bounded with respect to the box distance and the Lipschitz order.

Keywords

Cite

@article{arxiv.2105.00159,
  title  = {Boundedness of precompact sets of metric measure spaces},
  author = {Daisuke Kazukawa and Takumi Yokota},
  journal= {arXiv preprint arXiv:2105.00159},
  year   = {2021}
}

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12 pages