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A natural compactification of the Gromov-Hausdorff space

Published 30 Sep 2021 in math.MG | (2109.14853v1)

Abstract: In this paper, we introduce a pseudometric on the family of isometry classes of (extended) metric spaces. Using it, we obtain a natural compactification of the Gromov-Hausdorff space, which is compatible with ultralimit.

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