Curvature, tangentiality, and controlled topology

DOI10.1007/BF01232272zbMath0744.57017OpenAlexW2064823863MaRDI QIDQ1177906

Shmuel Weinberger, Steven C. Ferry

Publication date: 26 June 1992

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143918

zbMATH Keywords

homotopy equivalence\(A\)- theory assembly mapcomplete Riemannian metric of non-positive special curvatureNovikov conjecture for manifolds admitting a complete Riemannian metric of non-positive sectional curvatureproperly homotopic to a homeomorphismtopological tangent bundlesunstably normal

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Surgery and handlebodies (57R65) Algebraic topology of manifolds (57N65) Algebraic (K)-theory of spaces (19D10)

Related Items

Topological regularity of spaces with an upper curvature bound, Topological finiteness theorems for manifolds in Gromov-Hausdorff space, On negatively curved bundles with hyperbolic fibers outside the Igusa stable range, An equivariant Novikov conjecture, On the Alexandroff-Borsuk problem, A trichotomy theorem for transformation groups of locally symmetric manifolds and topological rigidity, Stability of \(e^\epsilon\)-Lipschitz and co-Lipschitz maps in Gromov-Hausdorff topology, Higher invariants in noncommutative geometry, Equivariant Novikov conjecture for groups acting on Euclidean buildings, The \(K\)-theoretic Farrell-Jones conjecture for hyperbolic groups, Epsilon-delta surgery over \(\mathbb Z\), On the K-theory of groups with finite asymptotic dimension, The Novikov conjecture, Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers

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