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- W2890460152 abstract "We prove that a locally compact space with an upper curvature bound is a topological manifold if and only if all of its spaces of directions are homotopy equivalent and not contractible. We discuss applications to homology manifolds, limits of Riemannian manifolds and deduce a sphere theorem." @default.
- W2890460152 created "2018-09-27" @default.
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- W2890460152 date "2018-09-17" @default.
- W2890460152 modified "2023-09-25" @default.
- W2890460152 title "Topological regularity of spaces with an upper curvature bound" @default.
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- W2890460152 doi "https://doi.org/10.48550/arxiv.1809.06183" @default.
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