Circle bundles over 4-manifolds

Mathematics – Geometric Topology

Scientific paper

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6 pages to appear in Archiv der Math

Scientific paper

Every 1-connected topological 4-manifold M admits a $S^{1}$-covering by
$#_{r-1}S^{2}\times S^{3}$, where $r=$rank$H^{2}(M;\QTR{Bbb}{Z})$.

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