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A Result in Surgery Theory
Published online by Cambridge University Press: 20 November 2018
Abstract
We study the topological 4-dimensional surgery problem for a closed connected orientable topological 4-manifold $X$ with vanishing second homotopy and
${{\pi }_{1}}\left( X \right)\,\cong \,A\,*\,F\left( r \right)$
, where
$A$ has one end and
$F\left( r \right)$ is the free group of rank
$r\,\ge \,1$. Our result is related to a theorem of Krushkal and Lee, and depends on the validity of the Novikov conjecture for such fundamental groups.
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- Copyright © Canadian Mathematical Society 2008
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