2-ghastly spaces with the disjoint homotopies property: The method of fractured maps

The 2-ghastly spaces, first constructed by Daverman and Walsh, are resolvable generalized manifolds that contain no embedded 2-cells. In this paper, we demonstrate that there are 2-ghastly spaces of dimension n⩾4 with the disjoint homotopies property. Such spaces are necessarily codimension one manifold factors.