Topological regularity theorems for Alexandrov spaces

DOI10.2969/JMSJ/04940741zbMath0915.53021OpenAlexW2027914259MaRDI QIDQ1127014

Jyh-Yang Wu

Publication date: 28 June 1999

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/04940741

zbMATH Keywords

diametersectional curvaturehomology manifoldtopological manifoldcompact nonnegatively curved Alexandrov spacecontractibility radiusGromov-Hausdorff convergence theory

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (3)

Topological regularity of spaces with an upper curvature bound ⋮ Cohomogeneity one topological manifolds revisited ⋮ Nonnegatively curved Alexandrov spaces with souls of codimension two

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