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arXiv · 2210.00687

Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids

Daisuke Kazukawa·Takumi Yokota
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Abstract

We prove that any measured Gromov-Hausdorff precompact set of metric measure spaces which is contained in a certain set, called a pyramid, is bounded by some metric measure space with respect to the Lipschitz order inside the pyramid. This is proved as a step towards a possible extension of the statement of Gromov, for which we gave a detailed proof in our previous work. Several related results are also obtained.

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Daisuke Kazukawa, Takumi Yokota. 2022-10-03. Boundedness of measured Gromov-Hausdorff precompact sets of metric measure spaces in pyramids. https://arxiv.org/abs/2210.00687

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