Determines infinitesimal structure at boundary singular points and Hausdorff dimensions of boundary singular sets in limits of manifolds with boundary under sectional curvature, second fundamental form, and diameter bounds when inradii are bounded below.
Petrunin, Semiconcave functions in Alexandrov’s geometry
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Limits of manifolds with boundary I
Determines infinitesimal structure at boundary singular points and Hausdorff dimensions of boundary singular sets in limits of manifolds with boundary under sectional curvature, second fundamental form, and diameter bounds when inradii are bounded below.