English translation in Journal of Mathematical Sciences 144 (5) (2007), 4413-4422We 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 (that is, 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.
Geometric topology of generalized 3-manifolds / Cavicchioli, Alberto; Repovs, D; Thickstun, T. L.. - In: JOURNAL OF MATHEMATICAL SCIENCES. - ISSN 1072-3374. - STAMPA. - 144:5(2007), pp. 4413-4422. [10.1007/s10958-007-0279-y]
Geometric topology of generalized 3-manifolds
CAVICCHIOLI, Alberto;
2007
Abstract
English translation in Journal of Mathematical Sciences 144 (5) (2007), 4413-4422We 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 (that is, 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.
Pubblicazioni consigliate
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris
