The inverse-limit conjecture for singular quotient 3-manifolds

A singular quotient $3$-manifold is a quotient space of a topological $3$-manifold by a continuum that generates a singular point. An inverse limit of closed $3$-manifolds is a space obtained as the inverse limit of an inverse system of closed $3$-manifolds. Inverse-limit conjecture. No singular quotient $3$-manifold can be represented as an inverse limit of closed $3$-manifolds. The paper contrasts this with van Kampen generalized $3$-manifolds, which are inverse limits of compact $3$-manifolds, and presents the claim as an open conjecture about the distinction between these two classes of generalized manifolds.