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math.GR2024
Coarse homological invariants of metric spaces
Alexander Margolis
Inspired by group cohomology, we define several coarse topological invariants of metric spaces. We define the coarse cohomological dimension of a metric space, and demonstrate that…
math.GR2024
Quasi-isometric rigidity of extended admissible groups
Alex Margolis, Hoang Thanh Nguyen
We introduce the class of extended admissible groups, which include both fundamental groups of non-geometric 3-manifolds and Croke-Kleiner admissible groups. We show that the class…