Homotopy finiteness theorems and Helly's theorem

DOI10.1007/BF02921584zbMath0803.53027MaRDI QIDQ1336076

Robert E. Greene

Publication date: 18 December 1994

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

distance functionRicci curvature lower boundsectional curvature boundGrove-Petersen finiteness theoremnoncritically

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Bounding homotopy types by geometry
• Little topology, big volume
• Topological finiteness theorems for manifolds in Gromov-Hausdorff space
• Geometric finiteness theorems via controlled topology
• A general comparison theorem with applications to volume estimates for submanifolds
• Finiteness Theorems for Riemannian Manifolds