Geodesic
Geometric topology of generalized $3$-manifolds
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 71-84.

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In this paper, we describe the history and the present status of one of the main classical problems in low-dimensional geometric topology — the recognition of topological 3-manifolds in the class of all generalized 3-manifolds (i.e., ANR homology 3-manifolds). This problem naturally splits into the cell-like resolution problem for 3-manifolds by means of homology 3-manifolds and the general-position problem for topological 3-manifolds. We have also included some open problems. 
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A. Cavicchioli; D. Repovš; T. Thickstun. Geometric topology of generalized $3$-manifolds. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 4, pp. 71-84. http://geodesic.mathdoc.fr/item/FPM_2005_11_4_a5/

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