An Obstruction to 3-dimensional Thickenings

نویسنده

  • FRANCISCO F. LASHERAS
چکیده

In this paper we give a characterization of those locally finite 2-dimensional simplicial complexes that have an orientable 3-manifold thickening. This leads to an obstruction for a fake surface X to admit such a thickening. The obstruction is defined in H(Γ;Z2), where Γ ⊂ X is the subgraph consisting of all the 1-simplexes of order three.

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تاریخ انتشار 1999