Proceedings of the American Mathematical Society

Author(s): Francisco F. Lasheras
Journal: Proc. Amer. Math. Soc. 128 (2000), 893-902.
MSC (2000): Primary 57M20; Secondary 57Q35
Posted: September 27, 1999
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Abstract: In this paper we give a characterization of those locally finite

-dimensional simplicial complexes that have an orientable

-manifold thickening. This leads to an obstruction for a fake surface

to admit such a thickening. The obstruction is defined in $H^1(\Gamma;{\mathbf{Z}}_2)$ , where $\Gamma \subset X$ is the subgraph consisting of all the

-simplexes of order three.

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