This paper contains examples of closed aspherical manifolds obtained as a by-product of recent work by the author [?] on the relative strict hyperbolization of polyhedra. The following is proved.
(I) Any closed aspherical triangulated –manifold with hyperbolic fundamental group is a retract of a closed aspherical triangulated –manifold with hyperbolic fundamental group.
(II) If are closed aspherical triangulated –manifolds, then there is a closed aspherical triangulated manifold of dimension such that has nonzero simplicial volume, retracts to each , and is hyperbolic relative to ’s.
(III) Any finite aspherical simplicial complex is a retract of a closed aspherical triangulated manifold with positive simplicial volume and non-elementary relatively hyperbolic fundamental group.
"Aspherical manifolds, relative hyperbolicity, simplicial volume and assembly maps." Algebr. Geom. Topol. 6 (3) 1341 - 1354, 2006. https://doi.org/10.2140/agt.2006.6.1341