Finiteness conditions in covers of Poincaré duality spaces

Jonathan A. Hillman


A closed 4-manifold (or, more generally, a finite PD4-space) has a finitely dominated infinite regular covering space if and only if either its universal covering space is finitely dominated or it is finitely covered by the mapping torus of a self homotopy equivalence of a PD3-complex.

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Monday, January 14, 2008