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Controlled Homeomorphisms Over Nonpositively Curved Manifolds

Published online by Cambridge University Press:  20 November 2018

Bruce Hughes ,
Larry Taylor  and
Bruce Williams
Bruce Hughes
Affiliation:
Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240, USA, email: hughes@math.vanderbilt.edu
Larry Taylor
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA, email: taylor.2@nd.edu
Bruce Williams
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556, USA, email: williams.4@nd.edu
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Abstract

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We obtain a homotopy splitting of the forget control map for controlled homeomorphisms over closed manifolds of nonpositive curvature.

Keywords

57N1553C2055R6557N37controlled topologycontrolled homeomorphismnonpositive curvatureNovikov conjectures

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 43 , Issue 3 , 01 September 2000 , pp. 343 - 354
Copyright
Copyright © Canadian Mathematical Society 2000

References

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