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math.MG2024
Lower Bounding the Gromov--Hausdorff distance in Metric Graphs
Henry Adams, Sushovan Majhi, Fedor Manin +2
Let be a finite, connected metric graph and let be a subset. If is sufficiently dense in , we show that the Gromov--Hausdorff distance matches the Hausdor…
math.MG2024
Coarse structures on locally compact abelian groups
Dmitri Shakhmatov, Takamitsu Yamauchi, Nicolò Zava
Motivated by the study of the large-scale geometry of topological groups, we investigate particular families of subsets of topological groups named group ideals. We compare differe…