We study the homotopy type of closed 4-manifolds (or oriented Poincare spaces) with free fundamental group. This gives a partial solution to problem N. 4.53 of [10]. Then we extend the Whitehead-Novikov-Wall theorem for this class of manifolds by using surgery techniques.
机构:
Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
Univ Calif Davis, One Shields Ave, Davis, CA 95616 USAUniv Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
Islambouli, Gabriel
Naylor, Patrick
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机构:
Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada
McMaster Univ, Hamilton Hall,1280 Main St West Hamilton, Hamilton, ON L8S 4K1, CanadaUniv Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada