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arXiv · 1804.05189

Geodesically complete spaces with an upper curvature bound

Alexander Lytchak·Koichi Nagano
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Abstract

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.

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Alexander Lytchak, Koichi Nagano. 2018-04-14. Geodesically complete spaces with an upper curvature bound. https://arxiv.org/abs/1804.05189

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