We study the homotopy type of closed connected oriented topological 4-manifolds whose fundamental groups are isomorphic to that of an aspherical 4-manifold. We give algebraic conditions for which such manifolds are homotopy equivalent to non-trivial connected sums.
On the homotopy classification of 4-manifolds having the fundamental group of an aspherical 4-manifold / Cavicchioli, Alberto; Hegenbarth, F.. - In: OSAKA JOURNAL OF MATHEMATICS. - ISSN 0030-6126. - STAMPA. - 37:(2000), pp. 859-871.
On the homotopy classification of 4-manifolds having the fundamental group of an aspherical 4-manifold
CAVICCHIOLI, Alberto;
2000-01-01
Abstract
We study the homotopy type of closed connected oriented topological 4-manifolds whose fundamental groups are isomorphic to that of an aspherical 4-manifold. We give algebraic conditions for which such manifolds are homotopy equivalent to non-trivial connected sums.
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