On 4-dimensional mapping tori and product geometries
Jonathan A. Hillman
Research Report 94-14, 1 May 1994
We give simple necessary and sufficient conditions for an infinite cyclic
covering space of a closed 4-manifold to be homotopy equivalent to the mapping
torus of a self homotopy equivalence of a PD3-complex. This is a
homotopy analogue of the Stallings and Farrell fibration theorems available in
other dimensions. We consider also 4-manifolds which admit a geometry of
euclidean factor type.
4-manifold. geometry. mapping torus.
AMS Subject Classification (1991)
Secondary: 55R10, 53C30
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Sydney Mathematics and Statistics