Alexander Lytchak, Koichi Nagano
Published 2018-04-14Version 1
We study geometric and topological properties of locally compact, geodesically complete spaces with an upper curvature bound. We control the size of singular subsets, discuss homotopical and measure-theoretic stratifications and regularity of the metric structure on a large part.
Noncritical maps on geodesically complete spaces with curvature bounded above
Topological regularity of spaces with an upper curvature bound
A lower bound for the curvature integral under an upper curvature bound
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