On 4-manifolds which admit geometric decompositions or which are Seifert fibred
Jonathan A. Hillman
Research Report 94-35
28 October 1994
We show that a closed 4-manifold which admits a finite decomposition into geometric
pieces of finite volume is (essentially) either geometric or aspherical.
We also consider the homotopy types of closed 4-manifolds which are Seifert fibred or
which are the total spaces of bundles with base and fibre closed aspherical surfaces.
4-manifold. geometry. Seifert fibration. surface bundle.
AMS Subject Classification (1991)
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Sydney Mathematics and Statistics