Poincaré duality pairs of dimension three
Poincaré duality pairs of dimension three
We extend Hendriks' classification theorem and Turaev's realisation and splitting theorems for PD3-complexes to the relative case of PD3-pairs. The results for PD3-complexes are recovered by restricting the results to the case of PD3-pairs with empty boundary. Up to oriented homotopy equivalence, PD3-pairs are classified by their fundamental triple consisting …