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math.MG2020★ 3 cited
Limits of almost homogeneous spaces and their fundamental groups
Sergio Zamora
We say that a sequence of proper geodesic spaces consists of \textit{almost homogeneous spaces} if there is a sequence of discrete groups of isometries $G_n \leq \text{Iso}(X…
math.DG2020★ 2 cited
Tori Can't Collapse to an Interval
Sergio Zamora
Here we prove that under a lower sectional curvature bound, a sequence of Riemannian manifolds diffeomorphic to the standard -dimensional torus cannot converge in the Gromov--Ha…