An obstruction to 3-dimensional thickenings
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- by Francisco F. Lasheras PDF
- Proc. Amer. Math. Soc. 128 (2000), 893-902 Request permission
Abstract:
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 $H^1(\Gamma ;{\mathbf {Z}}_2)$, where $\Gamma \subset X$ is the subgraph consisting of all the $1$-simplexes of order three.References
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Additional Information
- Francisco F. Lasheras
- Affiliation: Departamento de Geometría y Topología, Universidad de Sevilla, Apdo 1160, 41080-Sevilla, Spain
- MR Author ID: 633766
- Email: fjfer@cica.es
- Received by editor(s): October 27, 1997
- Received by editor(s) in revised form: April 17, 1998
- Published electronically: September 27, 1999
- Communicated by: Ronald A. Fintushel
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 893-902
- MSC (2000): Primary 57M20; Secondary 57Q35
- DOI: https://doi.org/10.1090/S0002-9939-99-05023-6
- MathSciNet review: 1621973