Aspherical $P{D}_4$-pairs

James F. Davis, J. A Hillman

This is the third of three related preprints. We consider here which groups $\pi$ and $P{D}_3$-complexes $Y$ are realised by $P{D}_4$-pairs $(X,Y)$ with $X$ aspherical and ${\pi }_{1}X\cong \pi$,…