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Controlled Homeomorphisms Over Nonpositively Curved Manifolds

  Published:2000-09-01
 Printed: Sep 2000
Canadian Mathematical Bulletin
  • Bruce Hughes
  • Larry Taylor
  • Bruce Williams
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Abstract

We obtain a homotopy splitting of the forget control map for controlled homeomorphisms over closed manifolds of nonpositive curvature.
Keywords: controlled topology, controlled homeomorphism, nonpositive curvature, Novikov conjectures controlled topology, controlled homeomorphism, nonpositive curvature, Novikov conjectures
MSC Classifications: 57N15, 53C20, 55R65, 57N37 show english descriptions Topology of $E^n$, $n$-manifolds ($4 \less n \less \infty$)
Global Riemannian geometry, including pinching [See also 31C12, 58B20]
Generalizations of fiber spaces and bundles
Isotopy and pseudo-isotopy 57N15 - Topology of $E^n$, $n$-manifolds ($4 \less n \less \infty$)
53C20 - Global Riemannian geometry, including pinching [See also 31C12, 58B20]
55R65 - Generalizations of fiber spaces and bundles
57N37 - Isotopy and pseudo-isotopy
 
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