Controlled topology in geometry

DOI10.1090/S0273-0979-1989-15755-8zbMath0666.53027MaRDI QIDQ3817247

P. Petersenj, Karsten Grove, Jyh-Yang Wu

Publication date: 1989

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

zbMATH Keywords

finiteness theorems

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Topological manifolds (57N99)

Related Items (3)

A finiteness theorem for Ricci curvature in dimension three ⋮ Geometric finiteness theorems via controlled topology ⋮ A Pinching Theorem for Homotopy Spheres

Cites Work

• A finiteness theorem for metric spaces
• An obstruction to the resolution of homology manifolds
• Bounding homotopy types by geometry
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• On the classification of topological 4-manifolds with finite fundamental group
• Three-manifolds with positive Ricci curvature
• Regular convergence
• Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds.
• Homotopy Type Finiteness Theorems for Certain Precompact Families of Riemannian Manifolds
• Approximating Homotopy Equivalences by Homeomorphisms
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Finiteness Theorems for Riemannian Manifolds
• Unnamed Item

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