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Poincaré duality complexes with highly connected universal cover

Poincaré duality complexes with highly connected universal cover

Baues and Bleile showed that, up to oriented homotopy equivalence, a Poincaré duality complex of dimension n ≥ 3 with (n -2)-connected universal cover, is classified by its fundamental group, orientation class and the image of its fundamental class in the homology of the fundamental group.We generalise Turaev's results for …