Desingularizing homology manifolds
John Bryant, Steven C. Ferry, Washington Mio, Shmuel Weinberger · Geometry & Topology · 2007
Abstract. We prove that if X n, n ≥ 6, is a compact ANR homology n-manifold, we can blow up the singularities of X to obtain an ANR homology n-manifold with the disjoint disks property. More precisely, we show that there is an ANR homology n-manifold Y with the disjoint disks property and a cell-like map f: Y → X. 1.