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The Gromov-Hausdorff hyperspace of nonnegatively curved $ 2$-spheres

Author: Igor Belegradek
Journal: Proc. Amer. Math. Soc. 146 (2018), 1757-1764
MSC (2010): Primary 53C21; Secondary 52A20, 53C45, 54B20, 57N20
Published electronically: November 13, 2017
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Abstract: We study topological properties of the Gromov-Hausdorff metric on the set of isometry classes of nonnegatively curved $ 2$-spheres.

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Additional Information

Igor Belegradek
Affiliation: School of Mathematics Georgia Institute of Technology Atlanta, Georgia 30332-0160

Keywords: Nonnegative curvature, convex body, hyperspace, space of metrics, Gromov-Hausdorff, infinite dimensional topology
Received by editor(s): June 7, 2017
Published electronically: November 13, 2017
Communicated by: Lei Ni
Article copyright: © Copyright 2017 American Mathematical Society

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