In this paper we prove that every closed, connected and orientable 3-manifold of genus g can be obtained by identifying the boundaries of two closed domains, whose union is the boundary of a 3-dimensional handlebody of genus (g-1) and whose interiors are disjoint open discs .
Generating all closed 3-manifolds from handlebodies and polygonal schemes / Bandieri, Paola; Cavicchioli, Alberto; Grasselli, Luigi. - STAMPA. - 41:(1983), pp. 35-56. (Intervento presentato al convegno Topology and Applications tenutosi a Eger (Hungary) nel 1983).
Generating all closed 3-manifolds from handlebodies and polygonal schemes
BANDIERI, Paola;CAVICCHIOLI, Alberto;GRASSELLI, Luigi
1983
Abstract
In this paper we prove that every closed, connected and orientable 3-manifold of genus g can be obtained by identifying the boundaries of two closed domains, whose union is the boundary of a 3-dimensional handlebody of genus (g-1) and whose interiors are disjoint open discs .
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