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math.MG2025
Gromov-Hausdorff distance between chromatic metric pairs and stability of the six-pack
Ondřej Draganov, Sophie Rosenmeier, Nicolò Zava
Chromatic metric pairs consist of a metric space and a coloring function partitioning a subset thereof into various colors. It is a natural extension of the notion of chromatic poi…
math.MG2025
Topological dimension of the Gromov-Hausdorff and Gromov-Prokhorov spaces
Hiroki Nakajima, Takamitsu Yamauchi, Nicolò Zava
The Gromov-Hausdorff distance is a dissimilarity metric capturing how far two spaces are from being isometric. The Gromov-Prokhorov distance is a similar notion for metric measure…