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arXiv:math/0110087 [math.DG]AbstractReferencesReviewsResources

Restrictions on collapsing with a lower sectional curvature bound

Vitali Kapovitch

Published 2001-10-08Version 1

We obtain new topological information about the local structure of collapsing under a lower sectional curvature bound. As an application we prove a new sphere theorem and obtain a partial result towards the conjecture that not every Alexandrov space can be obtained as a limit of a sequence of Riemannian manifolds with sectional curvature bounded from below.

Categories: math.DG, math.MG
Subjects: 53C20
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