Topological regularity of spaces with an upper curvature bound
نویسندگان
چکیده
We prove that a locally compact space with an upper curvature bound is topological manifold if and only all of its spaces directions are homotopy equivalent not contractible. discuss applications to homology manifolds, limits Riemannian manifolds deduce sphere theorem.
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2021
ISSN: ['1435-9855', '1435-9863']
DOI: https://doi.org/10.4171/jems/1091