Quasi-isometry classification of some manifolds of bounded geometry

DOI10.1007/BF02572337zbMath0863.57026MaRDI QIDQ1340612

Oliver Attie

Publication date: 10 June 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174666

zbMATH Keywords

geometrymanifoldtransversalitysurgeryquasi-isometryboundedpropercontrolledstructure setsimplicial approximationsimple homotopyeffectivelynormal fibrationuniformly finite

Mathematics Subject Classification ID

Whitehead (and related) torsion (19J10) Surgery obstructions, Wall groups (57R67) Surgery obstructions ((K)-theoretic aspects) (19J25)

Related Items (11)

De Rham's theorem for Orlicz cohomology ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Large-scale conformal rigidity in dimension three ⋮ The \(\ell^\infty\)-semi-norm on uniformly finite homology ⋮ Relative L^p-cohomology and application to Heintze groups ⋮ On the uniformly proper classification of open manifolds ⋮ Unnamed Item ⋮ Uniform \(K\)-theory, and Poincaré duality for uniform \(K\)-homology ⋮ Mapping surgery to analysis. II: Geometric signatures ⋮ \(C^\ast\)-algebraic higher signatures and an invariance theorem in codimension two ⋮ Uniformly finite homology and amenable groups

Cites Work

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• On the \(K_{-i}\)-functors
• Characteristic invariants of noncompact Riemannian manifolds
• Bounding homotopy types by geometry
• An index theorem on open manifolds. I. II
• The fundamental group and the spectrum of the Laplacian
• A splitting theorem for manifolds
• On the curvature of piecewise flat spaces
• Wall's surgery obstruction groups for GxZ
• Block bundles. II: Transversality
• The Whitehead group of a polynomial extension
• Aperiodic Tilings, Positive Scalar Curvature, and Amenability of Spaces
• BOUNDED COCYCLES AND COMBINGS OF GROUPS
• Characteristic Classes and Distortion of Diffeomorphisms
• On the Hauptvermutung for manifolds
• Finiteness Theorems for Riemannian Manifolds
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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