Topological finiteness theorems for manifolds in Gromov-Hausdorff space

DOI10.1215/S0012-7094-94-07404-8zbMath0824.53040OpenAlexW1577685896MaRDI QIDQ1331689

Steven C. Ferry

Publication date: 30 October 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07404-8

zbMATH Keywords

surgery exact sequenceGromov-Hausdorff spacecontractibility functionfiniteness problem

Mathematics Subject Classification ID

Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Surgery obstructions, Wall groups (57R67)

Related Items

Topological regularity of spaces with an upper curvature bound ⋮ Homotopy finiteness theorems and Helly's theorem ⋮ Compactness and Finiteness Results for Gromov-Hyperbolic Spaces ⋮ How Riemannian Manifolds Converge ⋮ Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities ⋮ Limits of manifolds in the Gromov-Hausdorff metric space ⋮ Little topology, big volume ⋮ On scalar and Ricci curvatures ⋮ Interpolation, the rudimentary geometry of spaces of Lipschitz functions, and geometric complexity

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