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math.DG2017
Gromov-Hausdorff hyperspace of nonnegatively curved -spheres
Igor Belegradek
We study topological properties of the Gromov-Hausdorff metric on the set of isometry classes of nonnegatively curved -spheres.
math.DG2017
Centers of disks in Riemannian manifolds
Igor Belegradek, Mohammad Ghomi
We prove the existence of a center, or continuous selection of a point, in the relative interior of embedded -disks in Riemannian -manifolds. If the center can…