Bagchi, Bhaskar ; Datta, Basudeb (2004) Non-existence of 6-dimensional pseudomanifolds with complementarity Advances in Geometry, 4 (4). pp. 537-550. ISSN 1615-715X
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Official URL: http://www.reference-global.com/doi/abs/10.1515/ad...
Related URL: http://dx.doi.org/10.1515/advg.2004.4.4.537
Abstract
In a previous paper ([10]) the second author showed that if M is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then M must have dimension ≥ 6, and - in case of equality - M must have exactly 12 vertices. In this paper we prove that such a 6-dimensional pseudomanifold does not exist. On the way to proving our main result we also prove that all combinatorial triangulations of the 4-sphere with at most 10 vertices are combinatorial 4-spheres.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG.. |
| Keywords: | (Weak) Pseudomanifolds; Combinatorial Triangulations; Collapsible Simplicial Complexes; Complementarity; Piecewise-linear Manifolds |
| ID Code: | 75106 |
| Deposited On: | 21 Dec 2011 14:11 |
| Last Modified: | 13 Jul 2012 11:00 |
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